-
1
-
-
0011332819
-
On the theory of mixed volumes of convex bodies, II. New inequalities between mixed volumes and their applications
-
[Al37] in Russian
-
[Al37] A.D. ALEKSANDROV, On the theory of mixed volumes of convex bodies, II. New inequalities between mixed volumes and their applications, Math. Sb. N.S., 2 (1937), pp. 1205-1238 (in Russian).
-
(1937)
Math. Sb. N.S.
, vol.2
, pp. 1205-1238
-
-
Aleksandrov, A.D.1
-
2
-
-
0000864732
-
On the theory of mixed volumes of convex bodies, IV. Mixed discriminants and mixed volumes
-
[Al38] in Russian
-
[Al38] A.D. ALEKSANDROV, On the theory of mixed volumes of convex bodies, IV. Mixed discriminants and mixed volumes, Math. Sb. N.S., 3 (1938), pp. 227-251 (in Russian).
-
(1938)
Math. Sb. N.S.
, vol.3
, pp. 227-251
-
-
Aleksandrov, A.D.1
-
3
-
-
84966253125
-
Computing volumes of polyhedra
-
[AS86]
-
[AS86] E.L. ALLGOWER AND P.M. SCHMIDT, Computing volumes of polyhedra, Math. of Comp., 46 (1986), pp. 171-174.
-
(1986)
Math. of Comp.
, vol.46
, pp. 171-174
-
-
Allgower, E.L.1
Schmidt, P.M.2
-
4
-
-
85025262253
-
Sampling and integration of near log-concave functions
-
[AK90] ACM, New York
-
[AK90] D. APPLEGATE AND R. KANNAN, Sampling and integration of near log-concave functions, in Proc. 23rd ACM Symp. on Theory of Computing, ACM, New York, 1990, pp. 156-163.
-
(1990)
Proc. 23rd ACM Symp. on Theory of Computing
, pp. 156-163
-
-
Applegate, D.1
Kannan, R.2
-
5
-
-
0000075710
-
Computing the volume is difficult
-
[BF86] ACM, New York
-
[BF86] I. BÁRÁNY AND Z. FÜREDI, Computing the volume is difficult, in Proc. 18th ACM Symp. on Theory of Computing, ACM, New York, 1986, pp. 442-447. Reprinted in Discrete Comput. Geom., 2 (1987), pp. 319-326.
-
(1986)
Proc. 18th ACM Symp. on Theory of Computing
, pp. 442-447
-
-
Bárány, I.1
Füredi, Z.2
-
6
-
-
0000075710
-
-
[BF86] I. BÁRÁNY AND Z. FÜREDI, Computing the volume is difficult, in Proc. 18th ACM Symp. on Theory of Computing, ACM, New York, 1986, pp. 442-447. Reprinted in Discrete Comput. Geom., 2 (1987), pp. 319-326.
-
(1987)
Discrete Comput. Geom.
, vol.2
, pp. 319-326
-
-
-
7
-
-
0000975439
-
A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed
-
[Ba94]
-
[Ba94] A.I. BARVINOK, A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed, Math. Oper. Res., 19 (1994), pp. 769-779.
-
(1994)
Math. Oper. Res.
, vol.19
, pp. 769-779
-
-
Barvinok, A.I.1
-
9
-
-
34250406508
-
The number of roots of a system of equations
-
[Be75]
-
[Be75] D.N BERNSHTEIN, The number of roots of a system of equations, Funct. Anal. Appl., 9 (1975), pp. 183-185.
-
(1975)
Funct. Anal. Appl.
, vol.9
, pp. 183-185
-
-
Bernshtein, D.N.1
-
10
-
-
0012589965
-
Mixed volumes of polytopes
-
[Be92]
-
[Be92] U. BETKE, Mixed volumes of polytopes, Arch. Math., 58 (1992), pp. 388-391.
-
(1992)
Arch. Math.
, vol.58
, pp. 388-391
-
-
Betke, U.1
-
11
-
-
51249167675
-
Approximating the volume of convex bodies
-
[BH93]
-
[BH93] U. BETKE AND M. HENK, Approximating the volume of convex bodies, Discrete Comput. Geom., 10 (1993), pp. 15-21.
-
(1993)
Discrete Comput. Geom.
, vol.10
, pp. 15-21
-
-
Betke, U.1
Henk, M.2
-
12
-
-
0004261538
-
-
[BF34] Springer-Verlag, Berlin, 1934 (in German); reprinted: Chelsea, New York
-
[BF34] T. BONNESEN AND W. FENCHEL, Theorie der konvexen Körper, Springer-Verlag, Berlin, 1934 (in German); (reprinted: Chelsea, New York, 1948); Theory of Convex Bodies, BCS Associates, Moscow, Idaho, 1987, (in English).
-
(1948)
Theorie der Konvexen Körper
-
-
Bonnesen, T.1
Fenchel, W.2
-
13
-
-
84971273934
-
-
BCS Associates, Moscow, Idaho, 1987, (in English)
-
[BF34] T. BONNESEN AND W. FENCHEL, Theorie der konvexen Körper, Springer-Verlag, Berlin, 1934 (in German); (reprinted: Chelsea, New York, 1948); Theory of Convex Bodies, BCS Associates, Moscow, Idaho, 1987, (in English).
-
Theory of Convex Bodies
-
-
-
14
-
-
0013157009
-
Counting linear extensions is #P-complete
-
[BW92]
-
[BW92] G. BRIGHTWELL AND P. WINKLER, Counting linear extensions is #P-complete, Order, 8 (1992), pp. 225-242.
-
(1992)
Order
, vol.8
, pp. 225-242
-
-
Brightwell, G.1
Winkler, P.2
-
15
-
-
0002370076
-
How hard is it to marry at random? (On the approximation of the permanent)
-
[Br86] ACM, New York
-
[Br86] A. Z. BRODER, How hard is it to marry at random? (On the approximation of the permanent), in Proc. 18th ACM Symp. on Theory of Computing, ACM, New York, 1986, pp. 50-58.
-
(1986)
Proc. 18th ACM Symp. on Theory of Computing
, pp. 50-58
-
-
Broder, A.Z.1
-
16
-
-
0005388856
-
Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
-
[BS83]
-
[BS83] R. A. BRUALDI AND H. SCHNEIDER, Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley, Linear Algebra Appl., 52-53 (1983), pp. 769-791.
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 769-791
-
-
Brualdi, R.A.1
Schneider, H.2
-
18
-
-
85010519644
-
An efficient algorithm for the sparse mixed resultant
-
[CE93] Proc. 10th Intl. Symp. Appl. Algebra, Algebraic Alg., Error-Corr. Codes, Springer-Verlag, New York
-
[CE93] J. CANNY AND I.Z. EMIRIS, An efficient algorithm for the sparse mixed resultant, in Proc. 10th Intl. Symp. Appl. Algebra, Algebraic Alg., Error-Corr. Codes, Lecture Notes in Comput. Sci. 263, Springer-Verlag, New York, 1993, pp. 89-104.
-
(1993)
Lecture Notes in Comput. Sci.
, vol.263
, pp. 89-104
-
-
Canny, J.1
Emiris, I.Z.2
-
19
-
-
84968511777
-
An optimality condition for determining the exact number of roots of a polynomial system
-
[CR91] Bonn, Germany, ACM, New York
-
[CR91] J. CANNY AND J.M. ROJAS, An optimality condition for determining the exact number of roots of a polynomial system, in Proc. ACM Intl. Symp. Algebraic Symbolic Comput., Bonn, Germany, ACM, New York, 1991, pp. 96-102.
-
(1991)
Proc. ACM Intl. Symp. Algebraic Symbolic Comput.
, pp. 96-102
-
-
Canny, J.1
Rojas, J.M.2
-
20
-
-
0018491818
-
Two algorithms for determining volumes of convex polyhedra
-
[CH79]
-
[CH79] J. COHEN AND T. HICKEY, Two algorithms for determining volumes of convex polyhedra, J. Assoc. Comput. Mach., 26 (1979), pp. 401-414.
-
(1979)
J. Assoc. Comput. Mach.
, vol.26
, pp. 401-414
-
-
Cohen, J.1
Hickey, T.2
-
21
-
-
0000296729
-
On lattices admitting unique Lagrange interpolation
-
[CY77]
-
[CY77] K.C. CHUNG AND T.H. YAO, On lattices admitting unique Lagrange interpolation, SIAM J. Numer. Anal., 14 (1977), pp. 735-743.
-
(1977)
SIAM J. Numer. Anal.
, vol.14
, pp. 735-743
-
-
Chung, K.C.1
Yao, T.H.2
-
22
-
-
0020155051
-
Some NP-complete problems in linear programming
-
[CKM82]
-
[CKM82] R. CHANDRASEKARAN, S.N. KABADI, AND K.G. MURTY, Some NP-complete problems in linear programming, Oper. Res. Lett., 1 (1982), pp. 101-104.
-
(1982)
Oper. Res. Lett.
, vol.1
, pp. 101-104
-
-
Chandrasekaran, R.1
Kabadi, S.N.2
Murty, K.G.3
-
23
-
-
0024091845
-
The complexity of computing the volume of a polyhedron
-
[DF88]
-
[DF88] M.E. DYER AND A.M. FRIEZE, The complexity of computing the volume of a polyhedron, SIAM J. Comput., 17 (1988), pp. 967-974.
-
(1988)
SIAM J. Comput.
, vol.17
, pp. 967-974
-
-
Dyer, M.E.1
Frieze, A.M.2
-
24
-
-
0003672936
-
Computing the volume of convex bodies: A case where randomness provably helps
-
[DF91] Probabilistic Combinatorics and its Applications, Béla Bollobás, ed., American Mathematical Society, Providence, RI
-
[DF91] M.E. DYER AND A.M. FRIEZE, Computing the volume of convex bodies: a case where randomness provably helps, in Probabilistic Combinatorics and its Applications, Proceedings of Symposia in Applied Mathematics, Vol. 44, Béla Bollobás, ed., American Mathematical Society, Providence, RI, 1991, pp. 123-169.
-
(1991)
Proceedings of Symposia in Applied Mathematics
, vol.44
, pp. 123-169
-
-
Dyer, M.E.1
Frieze, A.M.2
-
25
-
-
0025720957
-
A random polynomial time algorithm for approximating the volume of a convex body
-
[DFK91]
-
[DFK91] M.E. DYER, A.M. FRIEZE, AND R. KANNAN, A random polynomial time algorithm for approximating the volume of a convex body, J. Assoc. Comput. Mach., 38 (1991), pp. 1-17.
-
(1991)
J. Assoc. Comput. Mach.
, vol.38
, pp. 1-17
-
-
Dyer, M.E.1
Frieze, A.M.2
Kannan, R.3
-
26
-
-
0031210630
-
On Barvinok's algorithm for counting lattice points in fixed dimension
-
[DK97] to appear
-
[DK97] M.E. DYER AND R. KANNAN, On Barvinok's algorithm for counting lattice points in fixed dimension, Math. Oper. Res., 22 (1997), to appear.
-
(1997)
Math. Oper. Res.
, vol.22
-
-
Dyer, M.E.1
Kannan, R.2
-
27
-
-
0002167079
-
Submodular functions, matroids, and certain polyhedra
-
[Ed70] R. Guy, H. Hanani, N. Sauer, and J. Schönheim, eds., Gordon and Breach, New York
-
[Ed70] J. EDMONDS, Submodular functions, matroids, and certain polyhedra, in Combinatorial Structures and their Applications, R. Guy, H. Hanani, N. Sauer, and J. Schönheim, eds., Gordon and Breach, New York, 1970, pp. 69-87.
-
(1970)
Combinatorial Structures and Their Applications
, pp. 69-87
-
-
Edmonds, J.1
-
28
-
-
84941843652
-
Sur un probléme de géometrie diophantienne linéaire
-
[Eh67]
-
[Eh67] E. EHRHART, Sur un probléme de géometrie diophantienne linéaire, J. Reine Angew. Math., 226 (1967), pp. 1-29; 227 (1967), pp. 25-49.
-
(1967)
J. Reine Angew. Math.
, vol.226
, pp. 1-29
-
-
Ehrhart, E.1
-
29
-
-
84941843652
-
-
[Eh67] E. EHRHART, Sur un probléme de géometrie diophantienne linéaire, J. Reine Angew. Math., 226 (1967), pp. 1-29; 227 (1967), pp. 25-49.
-
(1967)
J. Reine Angew. Math.
, vol.227
, pp. 25-49
-
-
-
31
-
-
0000348667
-
Efficient incremental algorithms for the sparse resultant and the mixed volume
-
[EC95]
-
[EC95] I.Z. EMIRIS AND J.F. CANNY, Efficient incremental algorithms for the sparse resultant and the mixed volume, J. Symbolic Comput., 20 (1995), pp. 117-149.
-
(1995)
J. Symbolic Comput.
, vol.20
, pp. 117-149
-
-
Emiris, I.Z.1
Canny, J.F.2
-
32
-
-
0001782882
-
Monomial bases and polynomial system solving
-
[ER94] Oxford, UK, ACM, New York
-
[ER94] I.Z. EMIRIS AND A. REGE, Monomial bases and polynomial system solving, in Proc. 8th ACM Intl. Symp. Algebraic Symbolic Comput. '94, Oxford, UK, ACM, New York, 1994, pp. 114-122.
-
(1994)
Proc. 8th ACM Intl. Symp. Algebraic Symbolic Comput
, vol.94
, pp. 114-122
-
-
Emiris, I.Z.1
Rege, A.2
-
33
-
-
0011484987
-
Inégalités quadratique entre les volumes mixtes des corps convexes
-
[Fe36]
-
[Fe36] W. FENCHEL, Inégalités quadratique entre les volumes mixtes des corps convexes, C.R. Acad. Sci. Paris, 203 (1936), pp. 647-650.
-
(1936)
C.R. Acad. Sci. Paris
, vol.203
, pp. 647-650
-
-
Fenchel, W.1
-
35
-
-
0010135519
-
Newton polytopes and the classical resultant and discriminant
-
[GKZ90]
-
[GKZ90] I.M. GELFAND, M.M. KAPRANOV, AND A.V. ZELEVINSKY, Newton polytopes and the classical resultant and discriminant, Adv. Math., 84 (1990), pp. 237-254.
-
(1990)
Adv. Math.
, vol.84
, pp. 237-254
-
-
Gelfand, I.M.1
Kapranov, M.M.2
Zelevinsky, A.V.3
-
36
-
-
85034485987
-
Zonotopes and mixture management
-
[GV89] J.P. Penot, ed., ISNM87, Birkhäuser, Basel
-
[GV89] D. GIRAD AND P. VALENTIN, Zonotopes and mixture management, in New Methods in Optimization and their Industrial Uses, J.P. Penot, ed., ISNM87, Birkhäuser, Basel, 1989, pp. 57-71.
-
(1989)
New Methods in Optimization and Their Industrial Uses
, pp. 57-71
-
-
Girad, D.1
Valentin, P.2
-
37
-
-
0011428975
-
On the complexity of some basic problems in computational convexity: II. Volume and mixed volumes
-
[GK94] T. Bisztriczky, P. McMullen, R. Schneider, and A. Ivic Weiss, eds., Kluwer, Boston
-
[GK94] P. GRITZMANN AND V. KLEE, On the complexity of some basic problems in computational convexity: II. Volume and mixed volumes, in Polytopes: Abstract, Convex and Computational, T. Bisztriczky, P. McMullen, R. Schneider, and A. Ivic Weiss, eds., Kluwer, Boston, 1994, pp. 373-466.
-
(1994)
Polytopes: Abstract, Convex and Computational
, pp. 373-466
-
-
Gritzmann, P.1
Klee, V.2
-
38
-
-
51249169029
-
Largest k-simplices in d-polytopes
-
[GKL95]
-
[GKL95] P. GRITZMANN, V. KLEE, AND D. LARMAN, Largest k-simplices in d-polytopes, Discrete Comput. Geom., 13 (1995), pp. 477-515.
-
(1995)
Discrete Comput. Geom.
, vol.13
, pp. 477-515
-
-
Gritzmann, P.1
Klee, V.2
Larman, D.3
-
39
-
-
0001734192
-
Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases
-
[GS93]
-
[GS93] P. GRITZMANN AND B. STURMFELS, Minkowski addition of polytopes: computational complexity and applications to Gröbner bases, SIAM J. Discrete Math., 6 (1993), pp. 246-269.
-
(1993)
SIAM J. Discrete Math.
, vol.6
, pp. 246-269
-
-
Gritzmann, P.1
Sturmfels, B.2
-
40
-
-
0000838163
-
Lattice points
-
[GW93] P.M. Gruber and J.M. Wills, eds., Elsevier, Amsterdam
-
[GW93] P. GRITZMANN AND J.M. WILLS, Lattice points, in Handbook of Convex Geometry, P.M. Gruber and J.M. Wills, eds., Elsevier, Amsterdam, 1993, pp. 765-798.
-
(1993)
Handbook of Convex Geometry
, pp. 765-798
-
-
Gritzmann, P.1
Wills, J.M.2
-
41
-
-
0003957164
-
-
[GLS88] Springer-Verlag, Berlin
-
[GLS88] M. GRÖTSCHEL, L. LOVÁSZ, AND A. SCHRIJVER, Geometric Algorithms and Combinatorial Optimization, Springer-Verlag, Berlin, 1988.
-
(1988)
Geometric Algorithms and Combinatorial Optimization
-
-
Grötschel, M.1
Lovász, L.2
Schrijver, A.3
-
42
-
-
84968520678
-
A polyhedral method for solving sparse polynomial systems
-
[HS95]
-
[HS95] B. HUBER AND B. STURMFELS, A polyhedral method for solving sparse polynomial systems, Math. Comput., 64 (1995), pp. 1541-1555.
-
(1995)
Math. Comput.
, vol.64
, pp. 1541-1555
-
-
Huber, B.1
Sturmfels, B.2
-
43
-
-
0024904712
-
Approximating the permanent
-
[JS89]
-
[JS89] M. R. JERRUM AND A. J. SINCLAIR, Approximating the permanent, SIAM J. Comput., 18 (1989), pp. 1149-1178.
-
(1989)
SIAM J. Comput.
, vol.18
, pp. 1149-1178
-
-
Jerrum, M.R.1
Sinclair, A.J.2
-
44
-
-
38249043088
-
Random generation of combinatorical structures from a uniform distribution
-
[JVV86]
-
[JVV86] M. R. JERRUM, L. G. VALIANT, AND V.V. VAZIRANI, Random generation of combinatorical structures from a uniform distribution, Theoret. Comput. Sci., 43 (1986), pp. 169-188.
-
(1986)
Theoret. Comput. Sci.
, vol.43
, pp. 169-188
-
-
Jerrum, M.R.1
Valiant, L.G.2
Vazirani, V.V.3
-
45
-
-
0001951331
-
A catalog of complexity classes
-
[Jo90] J. van Leeuwen, ed., Elsevier and M.I.T. Press, Amsterdam and Cambridge, MA
-
[Jo90] D.S. JOHNSON, A catalog of complexity classes, in Handbook of Theoretical Computer Science, vol. A: Algorithms and Complexity, J. van Leeuwen, ed., Elsevier and M.I.T. Press, Amsterdam and Cambridge, MA, 1990 , pp. 67-161.
-
(1990)
Handbook of Theoretical Computer Science, vol. A: Algorithms and Complexity
, vol.A
, pp. 67-161
-
-
Johnson, D.S.1
-
47
-
-
0027574032
-
A Monte-Carlo algorithm for estimationg the permanent
-
[KKLLL93]
-
[KKLLL93] N. KARMARKAR, R. KARP, R. LIPTON, L. LOVÁSZ, AND M. LUBY, A Monte-Carlo algorithm for estimationg the permanent, SIAM J. Comput., 22 (1993), pp. 284-293.
-
(1993)
SIAM J. Comput.
, vol.22
, pp. 284-293
-
-
Karmarkar, N.1
Karp, R.2
Lipton, R.3
Lovász, L.4
Luby, M.5
-
48
-
-
0040174181
-
Complexity of polytope volume computation
-
[Kh93] J. Pach, ed., Springer-Verlag, Berlin
-
[Kh93] L.G. KHACHIYAN, Complexity of polytope volume computation, in New Trends in Discrete and Computational Geometry, J. Pach, ed., Springer-Verlag, Berlin, 1993, pp. 91-101.
-
(1993)
New Trends in Discrete and Computational Geometry
, pp. 91-101
-
-
Khachiyan, L.G.1
-
49
-
-
0042778011
-
On the complexity of approximating the maximal inscribed ellipsoid for a polytope
-
[KT93]
-
[KT93] L.G. KHACHIYAN AND M.J. TODD, On the complexity of approximating the maximal inscribed ellipsoid for a polytope, Math. Programming, 61 (1993), pp. 137-159.
-
(1993)
Math. Programming
, vol.61
, pp. 137-159
-
-
Khachiyan, L.G.1
Todd, M.J.2
-
50
-
-
84966243783
-
Polytope volume computation
-
[La91]
-
[La91] J. LAWRENCE, Polytope volume computation, Math. Comput., 57 (1991), pp. 259-271.
-
(1991)
Math. Comput.
, vol.57
, pp. 259-271
-
-
Lawrence, J.1
-
51
-
-
0030163190
-
Counting affine roots of polynomial systems via pointed Newton polytopes
-
[LRW96]
-
[LRW96] T.Y. Li, J.M. ROJAS, AND X. WANG, Counting affine roots of polynomial systems via pointed Newton polytopes, J. Complexity, 12 (1996), pp. 116-133.
-
(1996)
J. Complexity
, vol.12
, pp. 116-133
-
-
Li, T.Y.1
Rojas, J.M.2
Wang, X.3
-
52
-
-
0006217743
-
Random walks on graphs: A survey
-
[Lo95] D. Miklós, V. T. Sós and T. Szönyi, eds., Bolyai Soc. Math. Stud. 2, János Bolyai Math. Soc., Budapest
-
[Lo95] L. LOVÁSZ, Random walks on graphs: A survey, in Combinatorics: Paul Erdös is 80, Vol. 2, D. Miklós, V. T. Sós and T. Szönyi, eds., Bolyai Soc. Math. Stud. 2, János Bolyai Math. Soc., Budapest, 1995, pp. 353-397.
-
(1995)
Combinatorics: Paul Erdös Is 80
, vol.2
, pp. 353-397
-
-
Lovász, L.1
-
53
-
-
0040174183
-
The mixing rate of Markov chains, an isoperimetric inequality and computing the volume
-
[LS90] IEEE Computer Society Press, Los Alamitos, CA
-
[LS90] L. LOVÁSZ AND M. SIMONIVITS, The mixing rate of Markov chains, an isoperimetric inequality and computing the volume, in Proc. IEEE 31st Annual Symp. Found. Comput. Sci., IEEE Computer Society Press, Los Alamitos, CA, 1990, pp. 364-355.
-
(1990)
Proc. IEEE 31st Annual Symp. Found. Comput. Sci.
, pp. 364-1355
-
-
Lovász, L.1
Simonivits, M.2
-
54
-
-
84990634606
-
Random walks in a convex body and an improved volume algorithm
-
[LS93]
-
[LS93] L. LOVÁSZ AND M. SIMONIVITS, Random walks in a convex body and an improved volume algorithm, Random Structures Algorithms, 4 (1993), pp. 359-412.
-
(1993)
Random Structures Algorithms
, vol.4
, pp. 359-412
-
-
Lovász, L.1
Simonivits, M.2
-
55
-
-
84976163829
-
The maximum number of faces of a convex polytope
-
[Mc70]
-
[Mc70] P. MCMULLEN, The maximum number of faces of a convex polytope, Mathematika, 17 (1970), pp. 179-184.
-
(1970)
Mathematika
, vol.17
, pp. 179-184
-
-
Mcmullen, P.1
-
56
-
-
1542451806
-
On the condition number of Lagrangian numerical differentiation
-
[MM85]
-
[MM85] G. MIEL AND R. MOONEY, On the condition number of Lagrangian numerical differentiation, Appl. Math. Comput., 16 (1985), pp. 241-252.
-
(1985)
Appl. Math. Comput.
, vol.16
, pp. 241-252
-
-
Miel, G.1
Mooney, R.2
-
57
-
-
0039480862
-
Theorie der konvexen Körper, insbesondere Begründung ihres Oberflächenbegriffs
-
[Mi11] Leipzig, Berlin
-
[Mi11] H. MINKOWSKI, Theorie der konvexen Körper, insbesondere Begründung ihres Oberflächenbegriffs, in Collected Works Vol. II, Leipzig, Berlin, 1911, pp. 131-229.
-
(1911)
Collected Works
, vol.2
, pp. 131-229
-
-
Minkowski, H.1
-
58
-
-
1542341905
-
Computing the volume of a zonotope
-
[Mo89]
-
[Mo89] H. L. MONTGOMERY, Computing the volume of a zonotope, Amer. Math. Monthly, 96 (1989), p. 431.
-
(1989)
Amer. Math. Monthly
, vol.96
, pp. 431
-
-
Montgomery, H.L.1
-
59
-
-
84966255056
-
Two formulas for the general multivariate polynomial which interpolates a regular grid on a simplex
-
[Ol86]
-
[Ol86] C. OLMSTED, Two formulas for the general multivariate polynomial which interpolates a regular grid on a simplex, Math. Comput., 47 (1986), pp. 275-284.
-
(1986)
Math. Comput.
, vol.47
, pp. 275-284
-
-
Olmsted, C.1
-
60
-
-
0342542805
-
On recognizing integer polyhedra
-
[PY90]
-
[PY90] C.H. PAPADIMITRIOU AND M. YANNAKAKIS, On recognizing integer polyhedra, Combinatorica, 10 (1990), pp. 107-109.
-
(1990)
Combinatorica
, vol.10
, pp. 107-109
-
-
Papadimitriou, C.H.1
Yannakakis, M.2
-
61
-
-
51249161636
-
Product formulas for sparse resultants
-
[PS93]
-
[PS93] P. PEDERSEN AND B. STURMFELS, Product formulas for sparse resultants, Math. Z., 214 (1993), pp. 377-396.
-
(1993)
Math. Z
, vol.214
, pp. 377-396
-
-
Pedersen, P.1
Sturmfels, B.2
-
62
-
-
0016568017
-
Optimally stable Lagrangian numerical differentiation
-
[Ri75]
-
[Ri75] T.J. RIVLIN, Optimally stable Lagrangian numerical differentiation, SIAM J. Numer. Anal., 12 (1975), pp. 712-725.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 712-725
-
-
Rivlin, T.J.1
-
64
-
-
0028517599
-
A convex geometric approach to counting the roots of a polynomial system
-
[Ro94]
-
[Ro94] J.M. ROJAS, A convex geometric approach to counting the roots of a polynomial system, Theoret. Comput. Sci., 133 (1994), pp. 105-140.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, pp. 105-140
-
-
Rojas, J.M.1
-
65
-
-
85034462593
-
Toric intersection for affine root counting
-
[Ro97] to appear
-
[Ro97] J.M. ROJAS, Toric intersection for affine root counting, J. Pure Appl. Math., 133 (1997), to appear.
-
(1997)
J. Pure Appl. Math.
, vol.133
-
-
Rojas, J.M.1
-
66
-
-
84966261969
-
Some problems in optimally stable Lagrangian differentiation
-
[Sa74]
-
[Sa74] H.E. SALZER, Some problems in optimally stable Lagrangian differentiation, Math. Comput., 28 (1974), pp. 1105-1115.
-
(1974)
Math. Comput.
, vol.28
, pp. 1105-1115
-
-
Salzer, H.E.1
-
67
-
-
0001855015
-
Mixed volumes
-
[Sa93] P.M. Gruber and J.M. Wills, eds., Elsevier, Amsterdam
-
[Sa93] J.R. SANGWINE-YAGER, Mixed volumes, in Handbook of Convex Geometry, P.M. Gruber and J.M. Wills, eds., Elsevier, Amsterdam, 1993, pp. 43-72.
-
(1993)
Handbook of Convex Geometry
, pp. 43-72
-
-
Sangwine-Yager, J.R.1
-
68
-
-
0003333144
-
Convex Bodies: The Brunn-Minkowski Theory
-
[Sc93] Cambridge University Press, Cambridge, MA
-
[Sc93] R. SCHNEIDER, Convex Bodies: The Brunn-Minkowski Theory, Encyclopedia of Mathematics and its Applications, Vol. 44, Cambridge University Press, Cambridge, MA, 1993.
-
(1993)
Encyclopedia of Mathematics and Its Applications
, vol.44
-
-
Schneider, R.1
-
69
-
-
0013522153
-
Polytopes and Brunn-Minkowski theory
-
[Sc94] T. Bisztriczky, P. McMullen, R. Schneider, and A. Ivic Weiss, eds., Kluwer, Boston
-
[Sc94] R. SCHNEIDER, Polytopes and Brunn-Minkowski theory, in Polytopes: Abstract, Convex and Computational, T. Bisztriczky, P. McMullen, R. Schneider, and A. Ivic Weiss, eds., Kluwer, Boston, 1994, pp. 273-300.
-
(1994)
Polytopes: Abstract, Convex and Computational
, pp. 273-300
-
-
Schneider, R.1
-
71
-
-
0000613625
-
Combinatorial properties of associated zonotopes
-
[Sh74]
-
[Sh74] G.C. SHEPHARD, Combinatorial properties of associated zonotopes, Canad. J. Math., 26 (1974), pp. 302-321.
-
(1974)
Canad. J. Math.
, vol.26
, pp. 302-321
-
-
Shephard, G.C.1
-
72
-
-
0024699930
-
Approximate counting, uniform generation and rapidly mixing Markov chains
-
[SJ89]
-
[SJ89] A. SINCLAIR AND M. JERRUM, Approximate counting, uniform generation and rapidly mixing Markov chains, inform. Comput., 82 (1989), pp. 93-133.
-
(1989)
Inform. Comput.
, vol.82
, pp. 93-133
-
-
Sinclair, A.1
Jerrum, M.2
-
73
-
-
0002876380
-
Two combinatorial applications of the Aleksandrov-Fenchel inequalities
-
[St81]
-
[St81] R.M. STANLEY, Two combinatorial applications of the Aleksandrov-Fenchel inequalities, J. Combin. Theory Ser. A, 17 (1981), pp. 56-65.
-
(1981)
J. Combin. Theory Ser. A
, vol.17
, pp. 56-65
-
-
Stanley, R.M.1
-
74
-
-
0003652674
-
-
[St86] Wadsworth & Brooks/Cole, Pacific Grove, CA
-
[St86] R.M. STANLEY, Enumerative Combinatorics, Vol. 1, Wadsworth & Brooks/Cole, Pacific Grove, CA, 1986.
-
(1986)
Enumerative Combinatorics
, vol.1
-
-
Stanley, R.M.1
-
75
-
-
0000657549
-
A zonotope associated with graphical degree sequences
-
[St91] P. Gritzmann and B. Sturmfels, eds., Amer. Math. Soc. and Assoc. Comput. Mach., Providence, RI
-
[St91] R. STANLEY, A zonotope associated with graphical degree sequences, in Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, P. Gritzmann and B. Sturmfels, eds., Amer. Math. Soc. and Assoc. Comput. Mach., Providence, RI, 1991, pp. 555-570.
-
(1991)
Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift
, pp. 555-570
-
-
Stanley, R.1
-
76
-
-
49249151236
-
The complexity of computing the permanent
-
[Va77]
-
[Va77] L.G. VALIANT, The complexity of computing the permanent, Theoret. Comput. Sci., 8 (1977), pp. 189-201.
-
(1977)
Theoret. Comput. Sci.
, vol.8
, pp. 189-201
-
-
Valiant, L.G.1
-
77
-
-
0000142982
-
The complexity of enumeration and reliability problems
-
[Va79]
-
[Va79] L.G. VALIANT, The complexity of enumeration and reliability problems, SIAM J. Comput., 8 (1979), pp. 410-421.
-
(1979)
SIAM J. Comput.
, vol.8
, pp. 410-421
-
-
Valiant, L.G.1
-
78
-
-
21144472893
-
Nonlinear reduction for solving deficient polynomial systems by continuation methods
-
[VC92]
-
[VC92] J. VERSCHELDE AND R. COOLS, Nonlinear reduction for solving deficient polynomial systems by continuation methods, Numer. Math., 63 (1992), pp. 263-282.
-
(1992)
Numer. Math.
, vol.63
, pp. 263-282
-
-
Verschelde, J.1
Cools, R.2
-
79
-
-
0001917438
-
Symmetric Newton polytopes for solving sparse polynomial systems
-
[VG95]
-
[VG95] J. VERSCHELDE AND K. GATERMANN, Symmetric Newton polytopes for solving sparse polynomial systems, Adv. Appl. Math, 16 (1995), pp. 95-127.
-
(1995)
Adv. Appl. Math
, vol.16
, pp. 95-127
-
-
Verschelde, J.1
Gatermann, K.2
-
80
-
-
0028449799
-
Homotopies exploiting Newton polytopes for solving sparse polynomial systems
-
[VVC94]
-
[VVC94] J. VERSCHELDE, P. VERLINDEN, AND R. COOLS, Homotopies exploiting Newton polytopes for solving sparse polynomial systems, SIAM J. Numer. Anal., 31 (1994), pp. 915-930.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 915-930
-
-
Verschelde, J.1
Verlinden, P.2
Cools, R.3
-
81
-
-
0004045430
-
-
[We76] Academic Press, London
-
[We76] D.J.A. WELSH, Matroid Theory, Academic Press, London, 1976.
-
(1976)
Matroid Theory
-
-
Welsh, D.J.A.1
-
82
-
-
0010992572
-
Unimodular matroids
-
[Wh87] N. White, eds., Cambridge University Press, Cambridge, MA
-
[Wh87] N. WHITE, Unimodular matroids, in Combinatorial Geometries, N. White, eds., Cambridge University Press, Cambridge, MA, 1987, pp. 40-52.
-
(1987)
Combinatorial Geometries
, pp. 40-52
-
-
White, N.1
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