-
1
-
-
0003301622
-
Trees, forests and jungles: A botanical garden for cluster expansions
-
Constructive Physics (V. Rivasseau, ed.), Springer, Berlin
-
Abdesselam, A. and Rivasseau, V. (1995) Trees, forests and jungles: A botanical garden for cluster expansions. In Constructive Physics (V. Rivasseau, ed.), Vol. 446 of Lecture Notes in Physics, Springer, Berlin, pp. 7-36.
-
(1995)
Lecture Notes in Physics
, vol.446
, pp. 7-36
-
-
Abdesselam, A.1
Rivasseau, V.2
-
2
-
-
84972498411
-
Every planar map is four colorable: Part 1, Discharging
-
Appel, K. and Haken, W. (1977) Every planar map is four colorable: Part 1, Discharging. Illinois J. Math. 21 429-490.
-
(1977)
Illinois J. Math.
, vol.21
, pp. 429-490
-
-
Appel, K.1
Haken, W.2
-
3
-
-
84972500815
-
Every planar map is four colorable: Part 2, Reducibility
-
Appel, K., Haken, W. and Koch, J. (1977) Every planar map is four colorable: Part 2, Reducibility. Illinois J. Math. 21 491-567.
-
(1977)
Illinois J. Math.
, vol.21
, pp. 491-567
-
-
Appel, K.1
Haken, W.2
Koch, J.3
-
4
-
-
0003199706
-
Every planar map is four colorable
-
American Mathematical Society, Providence, RI
-
Appel, K. and Haken, W. (1989) Every planar map is four colorable. Contemp. Math. 98. American Mathematical Society, Providence, RI.
-
(1989)
Contemp. Math.
, vol.98
-
-
Appel, K.1
Haken, W.2
-
5
-
-
36149004829
-
Statistics of two-dimensional lattices with four components
-
Ashkin, J. and Teller, E. (1943) Statistics of two-dimensional lattices with four components. Phys. Rev. 64 178-184.
-
(1943)
Phys. Rev.
, vol.64
, pp. 178-184
-
-
Ashkin, J.1
Teller, E.2
-
6
-
-
0000928926
-
q colourings of the triangular lattice
-
Baxter, R. J. (1986) q colourings of the triangular lattice. J. Phys. A 19 2821-2839.
-
(1986)
J. Phys. A
, vol.19
, pp. 2821-2839
-
-
Baxter, R.J.1
-
7
-
-
36149036355
-
Chromatic polynomials of large triangular lattices
-
Baxter, R. J. (1987) Chromatic polynomials of large triangular lattices. J. Phys. A 20 5241-5261.
-
(1987)
J. Phys. A
, vol.20
, pp. 5241-5261
-
-
Baxter, R.J.1
-
8
-
-
33746898508
-
Is the four-color conjecture almost false?
-
Beraha, S. and Kahane, J. (1979) Is the four-color conjecture almost false? J. Combin. Theory Ser. B 27 1-12.
-
(1979)
J. Combin. Theory Ser. B
, vol.27
, pp. 1-12
-
-
Beraha, S.1
Kahane, J.2
-
10
-
-
0007229623
-
The golden root of a chromatic polynomial
-
Berman, G. and Tutte, W. T. (1969) The golden root of a chromatic polynomial. J. Combin. Theory 6 301-302.
-
(1969)
J. Combin. Theory
, vol.6
, pp. 301-302
-
-
Berman, G.1
Tutte, W.T.2
-
11
-
-
0004242420
-
-
Cambridge University Press, Cambridge/New York
-
Biggs, N. (1993) Algebraic Graph Theory, 2nd edn, Cambridge University Press, Cambridge/New York.
-
(1993)
Algebraic Graph Theory, 2nd Edn
-
-
Biggs, N.1
-
13
-
-
0002741878
-
A determinantal formula for the number of ways of coloring a map
-
Birkhoff, G. D. (1912) A determinantal formula for the number of ways of coloring a map. Ann. Math. 14 42-46.
-
(1912)
Ann. Math.
, vol.14
, pp. 42-46
-
-
Birkhoff, G.D.1
-
15
-
-
0001103097
-
The homology and shellability of matroids and geometric lattices
-
Matroid Applications (N. White, ed.), Cambridge University Press, Cambridge, Chapter 7
-
Björner, A. (1992) The homology and shellability of matroids and geometric lattices. In Matroid Applications (N. White, ed.), Vol. 40 of Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, Chapter 7, pp. 226-283.
-
(1992)
Encyclopedia of Mathematics and Its Applications
, vol.40
, pp. 226-283
-
-
Björner, A.1
-
17
-
-
0002630105
-
Location of zeros of chromatic and related polynomials of graphs
-
Brenti, F., Royle, G. F. and Wagner, D. G. (1994) Location of zeros of chromatic and related polynomials of graphs. Can. J. Math. 46 55-80.
-
(1994)
Can. J. Math.
, vol.46
, pp. 55-80
-
-
Brenti, F.1
Royle, G.F.2
Wagner, D.G.3
-
18
-
-
0007340753
-
On the roots of chromatic polynomials
-
Brown, J. I. (1998) On the roots of chromatic polynomials. J. Combin. Theory Ser. B 72 251-256.
-
(1998)
J. Combin. Theory Ser. B
, vol.72
, pp. 251-256
-
-
Brown, J.I.1
-
19
-
-
0006839935
-
Chromatic polynomials and order ideals of monomials
-
Brown, J. I. (1998) Chromatic polynomials and order ideals of monomials. Discrete Math. 189 43-68.
-
(1998)
Discrete Math.
, vol.189
, pp. 43-68
-
-
Brown, J.I.1
-
21
-
-
36049055166
-
History of the Lenz-Ising model
-
Brush, S. G. (1967) History of the Lenz-Ising model. Rev. Mod. Phys. 39 883-893.
-
(1967)
Rev. Mod. Phys.
, vol.39
, pp. 883-893
-
-
Brush, S.G.1
-
22
-
-
0001775913
-
A short course on cluster expansions
-
(K. Osterwalder and R. Stora, eds), Les Houches summer school, Session XLIII, 1984, Elsevier/North-Holland, Amsterdam
-
Brydges, D. C. (1986) A short course on cluster expansions. In Phénomènes Critiques, Systèmes Aléatoires, Théories de Jauge Critical Phenomena, Random Systems, Gauge Theories (K. Osterwalder and R. Stora, eds), Les Houches summer school, Session XLIII, 1984, Elsevier/North-Holland, Amsterdam, pp. 129-183.
-
(1986)
Phénomènes Critiques, Systèmes Aléatoires, Théories de Jauge Critical Phenomena, Random Systems, Gauge Theories
, pp. 129-183
-
-
Brydges, D.C.1
-
23
-
-
33749316706
-
The random-walk representation of classical spin systems and correlation inequalities, II: The skeleton inequalities
-
Brydges, D. C., Fröhlich, J. and Sokal, A. D. (1983) The random-walk representation of classical spin systems and correlation inequalities, II: The skeleton inequalities. Commun. Math. Phys. 91 117-139.
-
(1983)
Commun. Math. Phys.
, vol.91
, pp. 117-139
-
-
Brydges, D.C.1
Fröhlich, J.2
Sokal, A.D.3
-
25
-
-
0003075338
-
Mayer expansions and the Hamilton-Jacobi equation
-
Brydges, D. C. and Kennedy, T (1987) Mayer expansions and the Hamilton-Jacobi equation. J. Statist. Phys. 48 19-49.
-
(1987)
J. Statist. Phys.
, vol.48
, pp. 19-49
-
-
Brydges, D.C.1
Kennedy, T.2
-
26
-
-
0033241707
-
Coulomb systems at low density: A review
-
cond-mat/9904122
-
Brydges, D. C. and Martin, Ph. A. (1999) Coulomb systems at low density: A review. J. Statist. Phys. 96 1163-1330; cond-mat/9904122 at xxx.lanl.gov.
-
(1999)
J. Statist. Phys.
, vol.96
, pp. 1163-1330
-
-
Brydges, D.C.1
Martin, Ph.A.2
-
27
-
-
0002104633
-
Mayer expansions and the Hamilton-Jacobi equation, II: Fermions, dimensional reduction formulas
-
erratum 97 1027 (1999)
-
Brydges, D. C. and Wright, J. D. (1988) Mayer expansions and the Hamilton-Jacobi equation, II: Fermions, dimensional reduction formulas. J. Statist. Phys. 51 435-456; erratum 97 1027 (1999).
-
(1988)
J. Statist. Phys.
, vol.51
, pp. 435-456
-
-
Brydges, D.C.1
Wright, J.D.2
-
28
-
-
0001042417
-
Decay of correlations for infinite range interactions in unbounded spin systems
-
Cammarota, C. (1982) Decay of correlations for infinite range interactions in unbounded spin systems. Commun. Math. Phys. 85 517-528.
-
(1982)
Commun. Math. Phys.
, vol.85
, pp. 517-528
-
-
Cammarota, C.1
-
29
-
-
0442319206
-
The local central limit theorem for a Gibbs random field
-
Campanino, M., Capocaccia, D. and Tirozzi, B. (1979) The local central limit theorem for a Gibbs random field. Commun. Math. Phys. 70 125-132.
-
(1979)
Commun. Math. Phys.
, vol.70
, pp. 125-132
-
-
Campanino, M.1
Capocaccia, D.2
Tirozzi, B.3
-
30
-
-
0001480898
-
A bibliography on chromatic polynomials
-
Chia, G. L. (1997) A bibliography on chromatic polynomials. Discrete Math. 172 175-191.
-
(1997)
Discrete Math.
, vol.172
, pp. 175-191
-
-
Chia, G.L.1
-
31
-
-
0003549661
-
-
Springer, New York
-
Chow, Y.-S. and Teicher, H. (1997) Probability Theory: Independence, Interchangeability, Martingales, 3rd edn, Springer, New York.
-
(1997)
Probability Theory: Independence, Interchangeability, Martingales, 3rd Edn
-
-
Chow, Y.-S.1
Teicher, H.2
-
33
-
-
0032362767
-
The scaling limit of lattice trees in high dimensions
-
Derbez, E. and Slade, G. (1998) The scaling limit of lattice trees in high dimensions. Commun. Math. Phys. 193 69-104.
-
(1998)
Commun. Math. Phys.
, vol.193
, pp. 69-104
-
-
Derbez, E.1
Slade, G.2
-
35
-
-
0002499711
-
Perturbation methods of the theory of Gibbsian fields
-
Lectures on Probability Theory and Statistics (P. Bernard, ed.), Ecole d'Eté de Probabilités de Saint-Flour XXIV - 1994, Springer, Berlin
-
Dobrushin, R. L. (1996) Perturbation methods of the theory of Gibbsian fields. In Lectures on Probability Theory and Statistics (P. Bernard, ed.), Ecole d'Eté de Probabilités de Saint-Flour XXIV - 1994, Vol. 1648 of Lecture Notes in Mathematics, Springer, Berlin, pp. 1-66.
-
(1996)
Lecture Notes in Mathematics
, vol.1648
, pp. 1-66
-
-
Dobrushin, R.L.1
-
36
-
-
0000695247
-
Configurational studies of the Potts models
-
Domb, C. (1974) Configurational studies of the Potts models. J. Phys. A 7 1335-1348.
-
(1974)
J. Phys. A
, vol.7
, pp. 1335-1348
-
-
Domb, C.1
-
37
-
-
0001368104
-
Topology of series-parallel graphs
-
Duffin, R. J. (1965) Topology of series-parallel graphs. J. Math. Anal. Appl. 10 303-318.
-
(1965)
J. Math. Anal. Appl.
, vol.10
, pp. 303-318
-
-
Duffin, R.J.1
-
38
-
-
0032367641
-
The zero-free intervals for characteristic polynomials of matroids
-
Edwards, H., Hierons, R. and Jackson, B. (1998) The zero-free intervals for characteristic polynomials of matroids. Combin. Probab. Comput. 7 153-165.
-
(1998)
Combin. Probab. Comput.
, vol.7
, pp. 153-165
-
-
Edwards, H.1
Hierons, R.2
Jackson, B.3
-
39
-
-
0001440863
-
Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
-
Edwards, R. G. and Sokal, A. D. (1988) Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm. Phys. Rev. D 38 2009-2012.
-
(1988)
Phys. Rev. D
, vol.38
, pp. 2009-2012
-
-
Edwards, R.G.1
Sokal, A.D.2
-
40
-
-
0000476184
-
On a general class of graph polynomials
-
Farrell, E. J. (1979) On a general class of graph polynomials. J. Combin. Theory Ser. B 26 111-122.
-
(1979)
J. Combin. Theory Ser. B
, vol.26
, pp. 111-122
-
-
Farrell, E.J.1
-
41
-
-
0007161964
-
Chromatic roots: Some observations and conjectures
-
Farrell, E. J. (1980) Chromatic roots: some observations and conjectures. Discrete Math. 29 161-167.
-
(1980)
Discrete Math.
, vol.29
, pp. 161-167
-
-
Farrell, E.J.1
-
42
-
-
0003876939
-
-
Springer, Berlin
-
Fernández, R., Fröhlich, J. and Sokal, A. D. (1992) Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory, Springer, Berlin.
-
(1992)
Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory
-
-
Fernández, R.1
Fröhlich, J.2
Sokal, A.D.3
-
43
-
-
6144279225
-
Some cluster size and percolation problems
-
Fisher, M. E. and Essam, J. W. (1961) Some cluster size and percolation problems. J. Math. Phys. 2 609-619.
-
(1961)
J. Math. Phys.
, vol.2
, pp. 609-619
-
-
Fisher, M.E.1
Essam, J.W.2
-
44
-
-
0041855748
-
On the random-cluster model, I: Introduction and relation to other models
-
Fortuin, C. M. and Kasteleyn, P. W. (1972) On the random-cluster model, I: Introduction and relation to other models. Physica 57 536-564.
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
45
-
-
21844520274
-
Relationships between growth constants for animals and trees
-
Gaunt, D. S., Peard, P. J., Soteros, C. E. and Whittington, S. G. (1994) Relationships between growth constants for animals and trees. J. Phys. A 27 7343-7351.
-
(1994)
J. Phys. A
, vol.27
, pp. 7343-7351
-
-
Gaunt, D.S.1
Peard, P.J.2
Soteros, C.E.3
Whittington, S.G.4
-
47
-
-
13744249216
-
The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions
-
Gessel, I. M. and Sagan, B. E. (1996) The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions. Electronic J. Combinatorics 3, no. 2, #R9.
-
(1996)
Electronic J. Combinatorics
, vol.3
, Issue.2
-
-
Gessel, I.M.1
Sagan, B.E.2
-
49
-
-
33845400496
-
Correlations in Ising ferromagnets, II: External magnetic fields
-
Griffiths, R. B. (1967) Correlations in Ising ferromagnets, II: External magnetic fields. J. Math. Phys. 8 484-489.
-
(1967)
J. Math. Phys.
, vol.8
, pp. 484-489
-
-
Griffiths, R.B.1
-
50
-
-
0002244055
-
The rank polynomials of large random lattices
-
Grimmett, G. (1978) The rank polynomials of large random lattices. J. London Math. Soc. 18 567-575.
-
(1978)
J. London Math. Soc.
, vol.18
, pp. 567-575
-
-
Grimmett, G.1
-
51
-
-
21344436631
-
The stochastic random-cluster process and the uniqueness of random-cluster measures
-
Grimmett, G. (1995) The stochastic random-cluster process and the uniqueness of random-cluster measures. Ann. Probab. 23 1461-1510.
-
(1995)
Ann. Probab.
, vol.23
, pp. 1461-1510
-
-
Grimmett, G.1
-
53
-
-
84974065206
-
The self-avoiding-walk and percolation critical points in high dimensions
-
Hara, T and Slade, G. (1995) The self-avoiding-walk and percolation critical points in high dimensions. Combin. Probab. Comput. 4 197-215.
-
(1995)
Combin. Probab. Comput.
, vol.4
, pp. 197-215
-
-
Hara, T.1
Slade, G.2
-
54
-
-
33947716431
-
Beitrag zur Theorie des Ferromagnetismus
-
Ising, E. (1925) Beitrag zur Theorie des Ferromagnetismus. Z. Phys. 31 253-258.
-
(1925)
Z. Phys.
, vol.31
, pp. 253-258
-
-
Ising, E.1
-
56
-
-
84971724951
-
A zero-free interval for chromatic polynomials of graphs
-
Jackson, B. (1993) A zero-free interval for chromatic polynomials of graphs. Combin. Probab. Comput. 2 325-336.
-
(1993)
Combin. Probab. Comput.
, vol.2
, pp. 325-336
-
-
Jackson, B.1
-
58
-
-
0002862954
-
Phase transitions in lattice systems with random local properties
-
Kasteleyn, P. W. and Fortuin, C. M. (1969) Phase transitions in lattice systems with random local properties. J. Phys. Soc. Japan 26 (Suppl.) 11-14.
-
(1969)
J. Phys. Soc. Japan
, vol.26
, Issue.SUPPL.
, pp. 11-14
-
-
Kasteleyn, P.W.1
Fortuin, C.M.2
-
59
-
-
0001442463
-
A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state
-
Kennedy, T., Lieb, E. H. and Tasaki, H. (1988) A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state. J. Statist. Phys. 53 383-415.
-
(1988)
J. Statist. Phys.
, vol.53
, pp. 383-415
-
-
Kennedy, T.1
Lieb, E.H.2
Tasaki, H.3
-
60
-
-
0000272507
-
Cell growth problems
-
Klarner, D. A. (1967) Cell growth problems. Can. J. Math. 19 851-863.
-
(1967)
Can. J. Math.
, vol.19
, pp. 851-863
-
-
Klarner, D.A.1
-
61
-
-
0000240574
-
Rigorous results for branched polymer models with excluded volume
-
Klein, D. J. (1981) Rigorous results for branched polymer models with excluded volume. J. Chem. Phys. 75 5186-5189.
-
(1981)
J. Chem. Phys.
, vol.75
, pp. 5186-5189
-
-
Klein, D.J.1
-
62
-
-
0003657590
-
-
Addison-Wesley, Reading, MA
-
Knuth, D. E. (1973) The Art of Computer Programming, Vol. 1, 2nd edn, Addison-Wesley, Reading, MA
-
(1973)
The Art of Computer Programming, Vol. 1, 2nd Edn
, vol.1
-
-
Knuth, D.E.1
-
63
-
-
0031206170
-
Ernst Ising: Physicist and teacher
-
Kobe, S. (1997) Ernst Ising: physicist and teacher. J. Statist. Phys. 88 991-995.
-
(1997)
J. Statist. Phys.
, vol.88
, pp. 991-995
-
-
Kobe, S.1
-
64
-
-
0010977097
-
The q-state Potts model in the standard Pirogov-Sinai theory: Surface tensions and Wilson loops
-
Kotecký, R., Laanait, L., Messager, A. and Ruiz, J. (1990) The q-state Potts model in the standard Pirogov-Sinai theory: Surface tensions and Wilson loops. J. Statist. Phys. 58 199-248.
-
(1990)
J. Statist. Phys.
, vol.58
, pp. 199-248
-
-
Kotecký, R.1
Laanait, L.2
Messager, A.3
Ruiz, J.4
-
65
-
-
0000639657
-
Cluster expansion for abstract polymer models
-
Kotecký, R. and Preiss, D. (1986) Cluster expansion for abstract polymer models. Commun. Math. Phys. 103 491-498.
-
(1986)
Commun. Math. Phys.
, vol.103
, pp. 491-498
-
-
Kotecký, R.1
Preiss, D.2
-
66
-
-
0001964461
-
Interfaces in the Potts model, I: Pirogov-Sinai theory of the Fortuin-Kasteleyn representation
-
Laanait, L., Messager, A., Miracle-Solé, S., Ruiz, J. and Shlosman, S. (1991) Interfaces in the Potts model, I: Pirogov-Sinai theory of the Fortuin-Kasteleyn representation. Commun. Math. Phys. 140 81-91.
-
(1991)
Commun. Math. Phys.
, vol.140
, pp. 81-91
-
-
Laanait, L.1
Messager, A.2
Miracle-Solé, S.3
Ruiz, J.4
Shlosman, S.5
-
67
-
-
0001440498
-
Phases coexistence and surface tensions for the Potts model
-
Laanait, L., Messager, A. and Ruiz, J. (1986) Phases coexistence and surface tensions for the Potts model. Commun. Math. Phys. 105 527-545.
-
(1986)
Commun. Math. Phys.
, vol.105
, pp. 527-545
-
-
Laanait, L.1
Messager, A.2
Ruiz, J.3
-
68
-
-
0442287723
-
The chromatic polynomial of a complete r-partite graph
-
Laskar, R. and Hare, W. R. (1975) The chromatic polynomial of a complete r-partite graph. Amer. Math. Monthly 82 752-754.
-
(1975)
Amer. Math. Monthly
, vol.82
, pp. 752-754
-
-
Laskar, R.1
Hare, W.R.2
-
69
-
-
0000704106
-
Statistical theory of equations of state and phase transitions, II: Lattice gas and Ising model
-
Lee, T. D. and Yang, C. N. (1952) Statistical theory of equations of state and phase transitions, II: Lattice gas and Ising model. Phys. Rev. 87 410-419.
-
(1952)
Phys. Rev.
, vol.87
, pp. 410-419
-
-
Lee, T.D.1
Yang, C.N.2
-
70
-
-
0000073824
-
Beitrag zum Verständnis der magnetischen Erscheinungen in festen Körpern
-
Lenz, W. (1920) Beitrag zum Verständnis der magnetischen Erscheinungen in festen Körpern. Z. Phys. 21 613-615.
-
(1920)
Z. Phys.
, vol.21
, pp. 613-615
-
-
Lenz, W.1
-
71
-
-
0000888415
-
A general Lee-Yang theorem for one-component and multicomponent ferromagnets
-
Lieb, E. H. and Sokal, A. D. (1981) A general Lee-Yang theorem for one-component and multicomponent ferromagnets. Commun. Math. Phys. 80 153-179.
-
(1981)
Commun. Math. Phys.
, vol.80
, pp. 153-179
-
-
Lieb, E.H.1
Sokal, A.D.2
-
72
-
-
0442272176
-
Graph reducibility
-
Proceedings of the Seventh Southeastern Conference on Combinatorics, Graph Theory, and Computing (F. Hoffman et al., eds), Louisiana State University, 1976
-
Liu, P. C. and Geldmacher, R. C. (1976) Graph reducibility. In Proceedings of the Seventh Southeastern Conference on Combinatorics, Graph Theory, and Computing (F. Hoffman et al., eds), Louisiana State University, 1976. Congressus Numerantium 47 433-445.
-
(1976)
Congressus Numerantium
, vol.47
, pp. 433-445
-
-
Liu, P.C.1
Geldmacher, R.C.2
-
73
-
-
0009286167
-
Uniform cluster estimates for lattice models
-
Malyshev, V A. (1979) Uniform cluster estimates for lattice models. Commun. Math. Phys. 64 131-157.
-
(1979)
Commun. Math. Phys.
, vol.64
, pp. 131-157
-
-
Malyshev, V.A.1
-
74
-
-
0040016305
-
Translation invariant Gibbs states in the q-state Potts model
-
Martirosian, D. H. (1986) Translation invariant Gibbs states in the q-state Potts model. Commun. Math. Phys. 105 281-290.
-
(1986)
Commun. Math. Phys.
, vol.105
, pp. 281-290
-
-
Martirosian, D.H.1
-
76
-
-
0346907779
-
Graphs and series-parallel networks
-
(N. White, ed.), Cambridge University Press, Cambridge, Chapter 6
-
Oxley, J. (1986) Graphs and series-parallel networks. In Theory of Matroids (N. White, ed.), Cambridge University Press, Cambridge, Chapter 6, pp. 97-126.
-
(1986)
Theory of Matroids
, pp. 97-126
-
-
Oxley, J.1
-
77
-
-
21844486840
-
1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer
-
Peard, P. J. and Gaunt, D. S. (1995) 1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer. J. Phys. A 28 6109-6124.
-
(1995)
J. Phys. A
, vol.28
, pp. 6109-6124
-
-
Peard, P.J.1
Gaunt, D.S.2
-
78
-
-
21844489840
-
Self-avoiding walks and trees in spread-out lattices
-
Penrose, M. D. (1994) Self-avoiding walks and trees in spread-out lattices. J. Statist. Phys. 77 3-15.
-
(1994)
J. Statist. Phys.
, vol.77
, pp. 3-15
-
-
Penrose, M.D.1
-
79
-
-
0009214820
-
Convergence of fugacity expansions for classical systems
-
(T. A. Bak, ed.), Benjamin, New York/Amsterdam
-
Penrose, O. (1967) Convergence of fugacity expansions for classical systems. In Statistical Mechanics: Foundations and Applications (T. A. Bak, ed.), Benjamin, New York/Amsterdam, pp. 101-109.
-
(1967)
Statistical Mechanics: Foundations and Applications
, pp. 101-109
-
-
Penrose, O.1
-
80
-
-
84926736518
-
Some generalized order-disorder transformations
-
Potts, R. B. (1952) Some generalized order-disorder transformations. Proc. Cambridge Philos. Soc. 48 106-109.
-
(1952)
Proc. Cambridge Philos. Soc.
, vol.48
, pp. 106-109
-
-
Potts, R.B.1
-
81
-
-
0002529522
-
An introduction to chromatic polynomials
-
Read, R. C. (1968) An introduction to chromatic polynomials. J. Combin. Theory 4 52-71.
-
(1968)
J. Combin. Theory
, vol.4
, pp. 52-71
-
-
Read, R.C.1
-
82
-
-
0001358201
-
Chromatic roots of families of graphs
-
(Y. Alavi et al., eds), Proceedings of the Sixth Quadrennial International Conference on the Theory and Applications of Graphs, Western Michigan University, 1988, Wiley, New York
-
Read, R. C. and Royle, G. F. (1991) Chromatic roots of families of graphs. In Graph Theory, Combinatorics, and Applications (Y. Alavi et al., eds), Proceedings of the Sixth Quadrennial International Conference on the Theory and Applications of Graphs, Western Michigan University, 1988, Vol. 2, Wiley, New York, pp. 1009-1029.
-
(1991)
Graph Theory, Combinatorics, and Applications
, vol.2
, pp. 1009-1029
-
-
Read, R.C.1
Royle, G.F.2
-
83
-
-
0002461816
-
Chromatic polynomials
-
(L. W. Beineke and R. J. Wilson, eds), Academic Press, London
-
Read, R. C. and Tutte, W. T. (1988) Chromatic polynomials. In Selected Topics in Graph Theory 3 (L. W. Beineke and R. J. Wilson, eds), Academic Press, London, pp. 15-42.
-
(1988)
Selected Topics in Graph Theory
, vol.3
, pp. 15-42
-
-
Read, R.C.1
Tutte, W.T.2
-
84
-
-
0031146074
-
The four-colour theorem
-
Robertson, N., Sanders, D. P., Seymour, P. D. and Thomas, R. (1997) The four-colour theorem. J. Combin. Theory Ser. B 70 2-44.
-
(1997)
J. Combin. Theory Ser. B
, vol.70
, pp. 2-44
-
-
Robertson, N.1
Sanders, D.P.2
Seymour, P.D.3
Thomas, R.4
-
85
-
-
0032047241
-
Chromatic polynomials for families of strip graphs and their asymptotic limits
-
cond-mat/9712148
-
Roček, M., Shrock, R. and Tsai, S.-H. (1998) Chromatic polynomials for families of strip graphs and their asymptotic limits. Physica A 252 505-546; cond-mat/9712148 at xxx.lanl.gov.
-
(1998)
Physica A
, vol.252
, pp. 505-546
-
-
Roček, M.1
Shrock, R.2
Tsai, S.-H.3
-
86
-
-
0032183844
-
Chromatic polynomials for J(ΠH)I strip graphs and their asymptotic limits
-
cond-mat/9807106
-
Roček, M., Shrock, R. and Tsai, S.-H. (1998) Chromatic polynomials for J(ΠH)I strip graphs and their asymptotic limits. Physica A 259 367-387; cond-mat/9807106 at xxx.lanl.gov.
-
(1998)
Physica A
, vol.259
, pp. 367-387
-
-
Roček, M.1
Shrock, R.2
Tsai, S.-H.3
-
87
-
-
34347166234
-
On the foundations of combinatorial theory, I: Theory of Möbius functions
-
Rota, G.-C. (1964) On the foundations of combinatorial theory, I: Theory of Möbius functions. Z. Wahrscheinlichkeitstheorie verw. Geb. 2 340-368.
-
(1964)
Z. Wahrscheinlichkeitstheorie Verw. Geb.
, vol.2
, pp. 340-368
-
-
Rota, G.-C.1
-
89
-
-
0038967484
-
Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
-
cond-mat/9603068
-
Salas, J. and Sokal, A. D. (1997) Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem. J. Statist. Phys. 86 551-579; cond-mat/9603068 at xxx.lanl.gov.
-
(1997)
J. Statist. Phys.
, vol.86
, pp. 551-579
-
-
Salas, J.1
Sokal, A.D.2
-
90
-
-
85031479565
-
Transfer matrices and partition-function zeros for antiferromagnetic Potts models, I: General theory and square-lattice chromatic polynomial
-
Preprint, cond-mat/0004330 to appear
-
Salas, J. and Sokal, A.D. (2000) Transfer matrices and partition-function zeros for antiferromagnetic Potts models, I: General theory and square-lattice chromatic polynomial. Preprint, cond-mat/0004330 at xxx.lanl.gov; to appear in J. Statist. Phys.
-
(2000)
J. Statist. Phys.
-
-
Salas, J.1
Sokal, A.D.2
-
92
-
-
0342696483
-
Entropy for translation-invariant random-cluster measures
-
Seppäläinen, T (1998) Entropy for translation-invariant random-cluster measures. Ann. Probab. 26 1139-1178.
-
(1998)
Ann. Probab.
, vol.26
, pp. 1139-1178
-
-
Seppäläinen, T.1
-
93
-
-
0000931941
-
Asymptotic limits and zeros of chromatic polynomials and ground state entropy of Potts antiferromagnets
-
cond-mat/9612249
-
Shrock, R. and Tsai, S.-H. (1997) Asymptotic limits and zeros of chromatic polynomials and ground state entropy of Potts antiferromagnets. Phys. Rev. E 55 5165-5178; cond-mat/9612249 at xxx.lanl.gov.
-
(1997)
Phys. Rev. E
, vol.55
, pp. 5165-5178
-
-
Shrock, R.1
Tsai, S.-H.2
-
94
-
-
0001223998
-
Families of graphs with chromatic zeros lying on circles
-
cond-mat/9703249
-
Shrock, R. and Tsai, S.-H. (1997) Families of graphs with chromatic zeros lying on circles. Phys. Rev. E 56 1342-1345; cond-mat/9703249 at xxx.lanl.gov.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 1342-1345
-
-
Shrock, R.1
Tsai, S.-H.2
-
95
-
-
0000107005
-
r({G},q) functions that are nonanalytic at 1/q = 0
-
cond-mat/9707096
-
r({G},q) functions that are nonanalytic at 1/q = 0. Phys. Rev. E 56 3935-3943; cond-mat/9707096 at xxx.lanl.gov.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 3935-3943
-
-
Shrock, R.1
Tsai, S.-H.2
-
96
-
-
0001679220
-
Lower bounds and series for the ground state entropy of the Potts antiferromagnet on Archimedean lattices and their duals
-
cond-mat/9707306
-
Shrock, R. and Tsai, S.-H. (1997) Lower bounds and series for the ground state entropy of the Potts antiferromagnet on Archimedean lattices and their duals. Phys. Rev. E 56 4111-4124; cond-mat/9707306 at xxx.lanl.gov.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 4111-4124
-
-
Shrock, R.1
Tsai, S.-H.2
-
97
-
-
0032183370
-
Ground state entropy of Potts antiferromagnets on homeomorphic families of strip graphs
-
cond-mat/9807105
-
Shrock, R. and Tsai, S.-H. (1998) Ground state entropy of Potts antiferromagnets on homeomorphic families of strip graphs. Physica A 259 315-348; cond-mat/9807105 at xxx.lanl.gov.
-
(1998)
Physica A
, vol.259
, pp. 315-348
-
-
Shrock, R.1
Tsai, S.-H.2
-
98
-
-
0032483925
-
Ground state degeneracy of Potts antiferromagnets: Cases with noncompact W boundaries having multiple points at 1/q = 0
-
cond-mat/9810057
-
Shrock, R. and Tsai, S.-H. (1998) Ground state degeneracy of Potts antiferromagnets: Cases with noncompact W boundaries having multiple points at 1/q = 0. J. Phys. A 31 9641-9665; cond-mat/9810057 at xxx.lanl.gov.
-
(1998)
J. Phys. A
, vol.31
, pp. 9641-9665
-
-
Shrock, R.1
Tsai, S.-H.2
-
99
-
-
0033101214
-
Ground state degeneracy of Potts antiferromagnets: Homeomorphic classes with noncompact W boundaries
-
cond-mat/9811410
-
Shrock, R. and Tsai, S.-H. (1999) Ground state degeneracy of Potts antiferromagnets: Homeomorphic classes with noncompact W boundaries. Physica A 265 186-223; cond-mat/9811410 at xxx.lanl.gov.
-
(1999)
Physica A
, vol.265
, pp. 186-223
-
-
Shrock, R.1
Tsai, S.-H.2
-
100
-
-
0033617045
-
Ground state entropy of the Potts antiferromagnet on cyclic strip graphs
-
cond-mat/9903233
-
Shrock, R. and Tsai, S.-H. (1999) Ground state entropy of the Potts antiferromagnet on cyclic strip graphs. J. Phys. A 32 L195-L200; cond-mat/9903233 at xxx.lanl.gov.
-
(1999)
J. Phys. A
, vol.32
-
-
Shrock, R.1
Tsai, S.-H.2
-
105
-
-
0003652674
-
-
Wadsworth and Brooks/Cole, Monterey, CA
-
Stanley, R. P. (1986) Enumerative Combinatorics, Vol. I, Wadsworth and Brooks/Cole, Monterey, CA.
-
(1986)
Enumerative Combinatorics
, vol.1
-
-
Stanley, R.P.1
-
106
-
-
0001452386
-
A symmetric function generalization of the chromatic polynomial of a graph
-
Stanley, R. P. (1995) A symmetric function generalization of the chromatic polynomial of a graph. Adv. Math. 111 166-194.
-
(1995)
Adv. Math.
, vol.111
, pp. 166-194
-
-
Stanley, R.P.1
-
108
-
-
0000668840
-
Graph colorings and related symmetric functions: Ideas and applications: A description of results, interesting applications, and notable open problems
-
Stanley, R. P. (1998) Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Discrete Math. 193 267-286.
-
(1998)
Discrete Math.
, vol.193
, pp. 267-286
-
-
Stanley, R.P.1
-
109
-
-
0442287715
-
Ernst Ising (obituary)
-
March
-
Stutz, C. and Williams, B. (1999) Ernst Ising (obituary). Phys. Today 52 (3) 106-108 (March).
-
(1999)
Phys. Today
, vol.52
, Issue.3
, pp. 106-108
-
-
Stutz, C.1
Williams, B.2
-
110
-
-
0442319180
-
A theorem on the exact solution of a spin system with a finite magnetic field
-
Suzuki, M. (1965) A theorem on the exact solution of a spin system with a finite magnetic field. Phys. Lett. 18 233-234.
-
(1965)
Phys. Lett.
, vol.18
, pp. 233-234
-
-
Suzuki, M.1
-
111
-
-
0442319183
-
The chromatic polynomial of a complete bipartite graph
-
Swenson, J. R. (1973) The chromatic polynomial of a complete bipartite graph. Amer. Math. Monthly 80 797-798.
-
(1973)
Amer. Math. Monthly
, vol.80
, pp. 797-798
-
-
Swenson, J.R.1
-
112
-
-
0000189235
-
An update on the four-color theorem
-
Thomas, R. (1998) An update on the four-color theorem. Notices Amer. Math. Soc. 45 848-859; http://www.ams.org/notices/199807/thomas.pdf.
-
(1998)
Notices Amer. Math. Soc.
, vol.45
, pp. 848-859
-
-
Thomas, R.1
-
113
-
-
0031497630
-
The zero-free intervals for chromatic polynomials of graphs
-
Thomassen, C. (1997) The zero-free intervals for chromatic polynomials of graphs. Combin. Probab. Comput. 6 497-506.
-
(1997)
Combin. Probab. Comput.
, vol.6
, pp. 497-506
-
-
Thomassen, C.1
-
114
-
-
0032183105
-
End graph effects on chromatic polynomials for strip graphs of lattices and their asymptotic limits
-
cond-mat/9807107
-
Tsai, S.-H. (1998) End graph effects on chromatic polynomials for strip graphs of lattices and their asymptotic limits. Physica A 259 349-366; cond-mat/9807107 at xxx.lanl.gov.
-
(1998)
Physica A
, vol.259
, pp. 349-366
-
-
Tsai, S.-H.1
-
116
-
-
0002092950
-
A contribution to the theory of chromatic polynomials
-
Tutte, W. T. (1954) A contribution to the theory of chromatic polynomials. Can. J. Math. 6 80-91.
-
(1954)
Can. J. Math.
, vol.6
, pp. 80-91
-
-
Tutte, W.T.1
-
117
-
-
0007230202
-
On chromatic polynomials and the golden ratio
-
Tutte, W. T. (1970) On chromatic polynomials and the golden ratio. J. Combin. Theory 9 289-296.
-
(1970)
J. Combin. Theory
, vol.9
, pp. 289-296
-
-
Tutte, W.T.1
-
118
-
-
0008711954
-
The dichromatic polynomial
-
Proceedings of the Fifth British Combinatorial Conference (C. St.J. A. Nash-Williams and J. Sheehan, eds), University of Aberdeen, 1975
-
Tutte, W. T. (1976) The dichromatic polynomial. In Proceedings of the Fifth British Combinatorial Conference (C. St.J. A. Nash-Williams and J. Sheehan, eds), University of Aberdeen, 1975. Congressus Numerantium 15 605-635.
-
(1976)
Congressus Numerantium
, vol.15
, pp. 605-635
-
-
Tutte, W.T.1
-
119
-
-
0011997899
-
The theory of linear graphs with applications to the theory of the virial development of the properties of gases
-
(J. de Boer and G. E. Uhlenbeck, eds), North-Holland, Amsterdam
-
Uhlenbeck, G. E. and Ford, G. W. (1962) The theory of linear graphs with applications to the theory of the virial development of the properties of gases. In Studies in Statistical Mechanics (J. de Boer and G. E. Uhlenbeck, eds), Vol. I, North-Holland, Amsterdam, pp. 119-211.
-
(1962)
Studies in Statistical Mechanics
, vol.1
, pp. 119-211
-
-
Uhlenbeck, G.E.1
Ford, G.W.2
-
120
-
-
0034390407
-
Zeros of reliability polynomials and f-vectors of matroids
-
Wagner, D. G. (2000) Zeros of reliability polynomials and f-vectors of matroids. Combin. Probab. Comput. 9 167-190.
-
(2000)
Combin. Probab. Comput.
, vol.9
, pp. 167-190
-
-
Wagner, D.G.1
-
121
-
-
84987589400
-
Chromatic polynomials, polygon trees, and outerplanar graphs
-
Wakelin, C. D. and Woodall, D. R. (1992) Chromatic polynomials, polygon trees, and outerplanar graphs. J. Graph Theory 16 459-466.
-
(1992)
J. Graph Theory
, vol.16
, pp. 459-466
-
-
Wakelin, C.D.1
Woodall, D.R.2
-
122
-
-
0020767156
-
Steiner trees, partial 2-trees, and minimum IFI networks
-
Wald, J. A. and Colbourn, C. J. (1983) Steiner trees, partial 2-trees, and minimum IFI networks. Networks 13 159-167.
-
(1983)
Networks
, vol.13
, pp. 159-167
-
-
Wald, J.A.1
Colbourn, C.J.2
-
123
-
-
0003518588
-
-
Cambridge University Press, Cambridge/New York
-
Welsh, D. J. A. (1993) Complexity: Knots, Colourings, and Counting, Vol. 186 of London Mathematical Society Lecture Notes, Cambridge University Press, Cambridge/New York.
-
(1993)
Complexity: Knots, Colourings, and Counting, Vol. 186 of London Mathematical Society Lecture Notes
, vol.186
-
-
Welsh, D.J.A.1
-
124
-
-
6244228084
-
A logical expansion in mathematics
-
Whitney, H. (1932) A logical expansion in mathematics. Bull. Amer. Math. Soc. 38 572-579.
-
(1932)
Bull. Amer. Math. Soc.
, vol.38
, pp. 572-579
-
-
Whitney, H.1
-
125
-
-
0000217456
-
On the coloring of graphs
-
Whitney, H. (1932) On the coloring of graphs. Ann. Math. 33 688-718.
-
(1932)
Ann. Math.
, vol.33
, pp. 688-718
-
-
Whitney, H.1
-
126
-
-
0010671816
-
A set of topological invariants for graphs
-
Whitney, H. (1933) A set of topological invariants for graphs. Amer. J. Math. 55 231-235.
-
(1933)
Amer. J. Math.
, vol.55
, pp. 231-235
-
-
Whitney, H.1
-
127
-
-
0039613300
-
Lattice animals: Rigorous results and wild guesses
-
(G. R. Grimmett and D. J. A. Welsh, eds), Clarendon Press, Oxford
-
Whittington, S. G. and Soteros, C. E. (1990) Lattice animals: Rigorous results and wild guesses. In Disorder in Physical Systems (G. R. Grimmett and D. J. A. Welsh, eds), Clarendon Press, Oxford, pp. 323-335.
-
(1990)
Disorder in Physical Systems
, pp. 323-335
-
-
Whittington, S.G.1
Soteros, C.E.2
-
128
-
-
0041199288
-
Zeros of chromatic polynomials
-
(P. J. Cameron, ed.), Academic Press, London
-
Woodall, D. R. (1977) Zeros of chromatic polynomials. In Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference (P. J. Cameron, ed.), Academic Press, London, pp. 199-223.
-
(1977)
Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference
, pp. 199-223
-
-
Woodall, D.R.1
-
129
-
-
0001276360
-
A zero-free interval for chromatic polynomials
-
Woodall, D. R. (1992) A zero-free interval for chromatic polynomials. Discrete Math. 101 333-341.
-
(1992)
Discrete Math.
, vol.101
, pp. 333-341
-
-
Woodall, D.R.1
-
130
-
-
0007235405
-
The largest real zero of the chromatic polynomial
-
Woodall, D. R. (1997) The largest real zero of the chromatic polynomial. Discrete Math. 172 141-153.
-
(1997)
Discrete Math.
, vol.172
, pp. 141-153
-
-
Woodall, D.R.1
-
131
-
-
0042492825
-
The Potts model
-
Erratum 55 (1983) 315
-
Wu, F. Y. (1982) The Potts model. Rev. Mod. Phys. 54 235-268. Erratum 55 (1983) 315.
-
(1982)
Rev. Mod. Phys.
, vol.54
, pp. 235-268
-
-
Wu, F.Y.1
-
132
-
-
0020723259
-
Potts model of magnetism (invited)
-
Wu, F. Y. (1984) Potts model of magnetism (invited). J. Appl. Phys. 55 2421-2425.
-
(1984)
J. Appl. Phys.
, vol.55
, pp. 2421-2425
-
-
Wu, F.Y.1
-
133
-
-
36149023450
-
Statistical theory of equations of state and phase transitions, I: Theory of condensation
-
Yang, C. N. and Lee, T D. (1952) Statistical theory of equations of state and phase transitions, I: Theory of condensation. Phys. Rev. 87 404-409.
-
(1952)
Phys. Rev.
, vol.87
, pp. 404-409
-
-
Yang, C.N.1
Lee, T.D.2
|