-
1
-
-
4944257625
-
Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird
-
G. Kirchhoff, Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird. Ann. Phys. Chem. 72:497-508 (1847).
-
(1847)
Ann. Phys. Chem
, vol.72
, pp. 497-508
-
-
Kirchhoff, G.1
-
2
-
-
0004242420
-
-
2nd edn, Cambridge University Press, Cambridge
-
N. L. Biggs, Algebraic Graph Theory, 2nd edn. (Cambridge University Press, Cambridge, 1993).
-
(1993)
Algebraic Graph Theory
-
-
Biggs, N.L.1
-
3
-
-
0003238314
-
Complexity: Knots, Colourings, and Counting
-
Cambridge University Press, Cambridge
-
D. J. A. Welsh, Complexity: Knots, Colourings, and Counting (London Math. Soc. Lecture Notes series 186). (Cambridge University Press, Cambridge, 1993).
-
(1993)
London Math. Soc. Lecture Notes series
, vol.186
-
-
Welsh, D.J.A.1
-
4
-
-
0001716571
-
Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances
-
R. Burton and R. Pemantle, Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances. Ann. Probab. 21:1329-1371 (1993).
-
(1993)
Ann. Probab
, vol.21
, pp. 1329-1371
-
-
Burton, R.1
Pemantle, R.2
-
5
-
-
23844524256
-
Asymptotic enumeration of spanning trees
-
R. Lyons, Asymptotic enumeration of spanning trees, Combin. Probab. Comput. 14:491-522 (2005).
-
(2005)
Combin. Probab. Comput
, vol.14
, pp. 491-522
-
-
Lyons, R.1
-
6
-
-
33847238948
-
-
H. N. V. Temperley, in: Combinatorics: Proc. Combinatorial Mathematics, D. J. A. Welsh and D. R. Woodall, editors. (The Institute of Mathematics and its Applications, Oxford, 1972, pp. 356-357).
-
H. N. V. Temperley, in: Combinatorics: Proc. Combinatorial Mathematics, D. J. A. Welsh and D. R. Woodall, editors. (The Institute of Mathematics and its Applications, Oxford, 1972, pp. 356-357).
-
-
-
-
7
-
-
0000033790
-
Number of spanning trees on a lattice
-
F.-Y. Wu, Number of spanning trees on a lattice, J. Phys. A: Math. Gen. 10:L113-L115 (1977).
-
(1977)
J. Phys. A: Math. Gen
, vol.10
-
-
Wu, F.-Y.1
-
8
-
-
0041855748
-
On the random cluster model. I. Introduction and relation to other models
-
C. M. Fortuin and P. W. Kasteleyn, On the random cluster model. I. Introduction and relation to other models. Physica 57:536-564 (1972).
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
9
-
-
0042492825
-
The Potts model
-
F.-Y. Wu, The Potts model, Rev. Mod. Phys. 54:235-268 (1982).
-
(1982)
Rev. Mod. Phys
, vol.54
, pp. 235-268
-
-
Wu, F.-Y.1
-
10
-
-
33745657432
-
Theoretical studies of self-organized criticality
-
D. Dhar, Theoretical studies of self-organized criticality. Physica A 369:29-70 (2006).
-
(2006)
Physica A
, vol.369
, pp. 29-70
-
-
Dhar, D.1
-
12
-
-
0000170712
-
Combinatorics
-
T. P. McDonough and V. C. Mavron, editors, Cambridge University Press, Cambridge
-
H. N. V. Temperley, Combinatorics (London Math. Soc. Lecture Note Series #13), T. P. McDonough and V. C. Mavron, editors. (Cambridge University Press, Cambridge, 1974, pp. 202-204).
-
(1974)
London Math. Soc. Lecture Note Series
, vol.13
, pp. 202-204
-
-
Temperley, H.N.V.1
-
13
-
-
0002374912
-
Spanning trees on hypercubic lattices and nonorientable surfaces
-
W.-J. Tzeng and F.-Y. Wu, Spanning trees on hypercubic lattices and nonorientable surfaces. Appl. Math. Lett. 13:19-25 (2000).
-
(2000)
Appl. Math. Lett
, vol.13
, pp. 19-25
-
-
Tzeng, W.-J.1
Wu, F.-Y.2
-
14
-
-
0034595456
-
Spanning trees on graphs and lattices in d dimensions
-
R. Shrock and F.-Y. Wu, Spanning trees on graphs and lattices in d dimensions. J. Phys. A: Math. Gen. 33:3881-3902 (2000).
-
(2000)
J. Phys. A: Math. Gen
, vol.33
, pp. 3881-3902
-
-
Shrock, R.1
Wu, F.-Y.2
-
15
-
-
33646399152
-
Some exact results for spanning trees on lattices
-
S.-C. Chang and R. Shrock, Some exact results for spanning trees on lattices. J. Phys. A: Math. Gen. 39:5653-5658 (2006).
-
(2006)
J. Phys. A: Math. Gen
, vol.39
, pp. 5653-5658
-
-
Chang, S.-C.1
Shrock, R.2
-
16
-
-
33746880684
-
Spanning trees on lattices and integral identities
-
S.-C. Chang and W. Wang, Spanning trees on lattices and integral identities. J. Phys. A: Math. Gen. 39:10263-10275 (2006).
-
(2006)
J. Phys. A: Math. Gen
, vol.39
, pp. 10263-10275
-
-
Chang, S.-C.1
Wang, W.2
-
20
-
-
0000802793
-
Solvable fractal family, and its possible relation to the backbone at percolation
-
Y. Gefen and A. Aharony, Solvable fractal family, and its possible relation to the backbone at percolation. Phys. Rev. Lett. 47:1771-1774 (1981).
-
(1981)
Phys. Rev. Lett
, vol.47
, pp. 1771-1774
-
-
Gefen, Y.1
Aharony, A.2
-
21
-
-
0001502928
-
Spectrum of the Schrödinger equation on a self-similar structure
-
R. Rammal and G. Toulouse, Spectrum of the Schrödinger equation on a self-similar structure. Phys. Rev. Lett. 49:1194-1197 (1982).
-
(1982)
Phys. Rev. Lett
, vol.49
, pp. 1194-1197
-
-
Rammal, R.1
Toulouse, G.2
-
22
-
-
0001534008
-
Superconductivity of networks. A percolation approach to the effects of disorder
-
S. Alexander, Superconductivity of networks. A percolation approach to the effects of disorder. Phys. Rev. B 27:1541-1557 (1983).
-
(1983)
Phys. Rev. B
, vol.27
, pp. 1541-1557
-
-
Alexander, S.1
-
23
-
-
0000272107
-
Solutions to the Schrödinger equation on some fractal lattices
-
E. Domany, S. Alexander, D. Bensimon and L. P. Kadanoff, Solutions to the Schrödinger equation on some fractal lattices. Phys. Rev. B 28:3110-3123 (1983).
-
(1983)
Phys. Rev. B
, vol.28
, pp. 3110-3123
-
-
Domany, E.1
Alexander, S.2
Bensimon, D.3
Kadanoff, L.P.4
-
24
-
-
0001532780
-
Phase transitions on fractals: I. Quasi-linear lattices
-
Y. Gefen, A. Aharony and B. B. Mandelbrot, Phase transitions on fractals: I. Quasi-linear lattices. J. Phys. A: Math. Gen. 16:1267-1278 (1983);
-
(1983)
J. Phys. A: Math. Gen
, vol.16
, pp. 1267-1278
-
-
Gefen, Y.1
Aharony, A.2
Mandelbrot, B.B.3
-
25
-
-
36149046108
-
Phase transitions on fractals: II. Sierpinski gaskets
-
Y. Gefen, A. Aharony, Y. Shapir and B. B. Mandelbrot, Phase transitions on fractals: II. Sierpinski gaskets, ibid. 17:435-444 (1984);
-
(1984)
J. Phys. A: Math. Gen
, vol.17
, pp. 435-444
-
-
Gefen, Y.1
Aharony, A.2
Shapir, Y.3
Mandelbrot, B.B.4
-
26
-
-
0000241121
-
Phase transitions on fractals: III. Infinitely ramified lattices
-
Y. Gefen, A. Aharony, and B. B. Mandelbrot, Phase transitions on fractals: III. Infinitely ramified lattices, ibid. 17:1277-1289 (1984).
-
(1984)
J. Phys. A: Math. Gen
, vol.17
, pp. 1277-1289
-
-
Gefen, Y.1
Aharony, A.2
Mandelbrot, B.B.3
-
27
-
-
0000390701
-
Diffusion on the Sierpinski gaskets: A random walker on a fractally structured object
-
R. A. Guyer, Diffusion on the Sierpinski gaskets: A random walker on a fractally structured object. Phys. Rev. A 29:2751-2755 (1984).
-
(1984)
Phys. Rev. A
, vol.29
, pp. 2751-2755
-
-
Guyer, R.A.1
-
29
-
-
0002365536
-
The exponent for the mean square displacement of self-avoiding random walk on the Sierpinski gasket
-
T. Hattori and S. Kusuoka, The exponent for the mean square displacement of self-avoiding random walk on the Sierpinski gasket, ibid. 93:273-284 (1992).
-
(1992)
Probab. Theory Relat. Fields
, vol.93
, pp. 273-284
-
-
Hattori, T.1
Kusuoka, S.2
-
30
-
-
0000568139
-
Distribution of sizes of erased loops for loop-erased random walks
-
D. Dhar and A. Dhar, Distribution of sizes of erased loops for loop-erased random walks. Phys. Rev. E 55:R2093-R2096 (1997).
-
(1997)
Phys. Rev. E
, vol.55
-
-
Dhar, D.1
Dhar, A.2
-
31
-
-
0032141466
-
Sandpiles on a Sierpinski gasket
-
F. Daerden and C. Vanderzande, Sandpiles on a Sierpinski gasket. Physica A 256:533-546 (1998).
-
(1998)
Physica A
, vol.256
, pp. 533-546
-
-
Daerden, F.1
Vanderzande, C.2
-
32
-
-
37649032418
-
Branched polymers on the Given-Mandelbrot family of fractals
-
D. Dhar, Branched polymers on the Given-Mandelbrot family of fractals. Phys. Rev. E 71:031801 (2005).
-
(2005)
Phys. Rev. E
, vol.71
, pp. 031801
-
-
Dhar, D.1
-
33
-
-
0003780715
-
-
Addison-Wesley, New York
-
F. Harary, Graph Theory (Addison-Wesley, New York, 1969).
-
(1969)
Graph Theory
-
-
Harary, F.1
-
34
-
-
0007012366
-
Spanning trees in regular graphs
-
B. McKay, Spanning trees in regular graphs. Eur. J. Combin. 4:149-160 (1983).
-
(1983)
Eur. J. Combin
, vol.4
, pp. 149-160
-
-
McKay, B.1
-
35
-
-
0002267352
-
Coverings, heat kernels and spanning trees
-
F. Chung and S.-T. Yau, Coverings, heat kernels and spanning trees. J. Combin. 6:163-183 (1999).
-
(1999)
J. Combin
, vol.6
, pp. 163-183
-
-
Chung, F.1
Yau, S.-T.2
-
36
-
-
36149049176
-
Renormalisation on Sierpinski-type fractals
-
R. Hilfer and A. Blumen, Renormalisation on Sierpinski-type fractals. J. Phys. A: Math. Gen. 17:L537-L545 (1984).
-
(1984)
J. Phys. A: Math. Gen
, vol.17
-
-
Hilfer, R.1
Blumen, A.2
-
37
-
-
0242329395
-
High-precision entropy values for spanning trees in lattices
-
J. L. Felker and R. Lyons, High-precision entropy values for spanning trees in lattices. J. Phys. A: Math. Gen. 36:8361-8365 (2003).
-
(2003)
J. Phys. A: Math. Gen
, vol.36
, pp. 8361-8365
-
-
Felker, J.L.1
Lyons, R.2
|