Found 78 Documents (Results 1–78)
Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs. (English) Zbl 07457946
MSC:
82-XX
Fourientation activities and the Tutte polynomial. (English. French summary) Zbl 1440.05124
Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 107-118 (2020).
MSC:
05C31
A two-dimensional topological representation theorem for matroid polytopes of rank 4. (English) Zbl 1437.05237
Study of exponential growth constants of directed heteropolygonal Archimedean lattices. (English) Zbl 1416.05122
Fourientations and the Tutte polynomial. (English) Zbl 1371.05132
MSC:
05C31
Symmetry, oriented matroids and two conjectures of Michel Las Vergnas. (English) Zbl 1319.05035
MSC:
05B35
Roudneff’s conjecture for Lawrence oriented matroids. (English) Zbl 1316.52033
Reviewer: Hang Lau (Montréal)
On a generalization of Zaslavsky’s theorem for hyperplane arrangements. (English) Zbl 1300.52020
Reviewer: Kelly J. Pearson (Murray)
Projection volumes of hyperplane arrangements. (English) Zbl 1247.52013
Reviewer: Stefan Nickel (Karlsruhe)
MSC:
52C35
The active bijection in graphs, hyperplane arrangements, and oriented matroids, 1: the fully optimal basis of a bounded region. (English) Zbl 1193.05053
Cubes and orientability. (English) Zbl 1225.52010
Fully optimal bases and the active bijection in graphs, hyperplane arrangements, and oriented matroids. (English) Zbl 1341.05023
Márquez, Alberto (ed.) et al., Proceedings of the 4th European conference on combinatorics, graph theory and applications, EuroComb’07, Seville, Spain, September 11–15, 2007. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 29, 365-371 (2007).
Bases, reorientations, and linear programming, in uniform and rank-3 oriented matroids. (English) Zbl 1053.05023
On a mutation problem for oriented matroids. (English) Zbl 0984.52013
MSC:
52C40
The Tutte polynomial of a morphism of matroids. I: Set-pointed matroids and matroid perspectives. (English) Zbl 0917.05019
MSC:
05B35
Signable posets and partitionable simplicial complexes. (English) Zbl 0853.52010
Reviewer: Ch.Leytem (Cruchten)
Oriented matroid polytopes and polyhedral fans are signable. (English) Zbl 1505.05035
Balas, Egon (ed.) et al., Integer programming and combinatorial optimization. 4th international IPCO conference, Copenhagen, Denmark, May 29–31, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 920, 198-211 (1995).
Geometry, complexity, and combinatorics of permutation polytopes. (English) Zbl 0789.05095
Reviewer: J.Libicher (Brno)
A theorem on the average number of subfaces in arrangements and oriented matroids. (English) Zbl 0780.52014
Reviewer: K.Fukuda
Topes of oriented matroids and related structures. (English) Zbl 0777.05039
Reviewer: J.Libicher (Brno)
On the topology and geometric construction of oriented matroids and convex polytopes. (English) Zbl 0743.05011
Reviewer: F.Aurenhammer (Graz)
Cells with many facets in arrangements of hyperplanes. (English) Zbl 0760.52008
Reviewer: G.L.Alexanderson (Santa Clara)
Orientation of signed graphs. (English) Zbl 0761.05095
Bounding the number of \(k\)-faces in arrangements of hyperplanes. (English) Zbl 0742.52012
Reviewer: A.Kondrat’ev (Sverdlovsk)
Combinatorial face enumeration in arrangements and oriented matroids. (English) Zbl 0752.05016
Reviewer: J.Libicher (Brno)
Algebraic varieties characterizing matroids and oriented matroids. (English) Zbl 0762.05030
MSC:
05B35
On the computational complexity of the Jones and Tutte polynomials. (English) Zbl 0747.57006
Reviewer: B.Zimmermann (Trieste)
On the inversion of the sign of one basis in an oriented matroid. (English) Zbl 0733.05025
MSC:
05B35
Hyperplane arrangements with a lattice of regions. (English) Zbl 0698.51010
Reviewer: G.Sierksma
Some generalizations of the criss-cross method for the linear complementarity problem of oriented matroids. (English) Zbl 0693.05020
An infinite family of minor-minimal nonrealizable 3-chirotopes. (English) Zbl 0645.05027
Reviewer: J.Bokowski
Euclidean intersection properties. (English) Zbl 0619.05016
MSC:
05B35
Neighborly polytopes and oriented matroids. (English) Zbl 0693.05019
MSC:
05B35
Tverberg-type theorems for pseudoconfigurations of points in the plane. (English) Zbl 0679.05018
Reviewer: Chr.Lefevre-Percsy
Separation theorems for oriented matroids. (English) Zbl 0668.05020
MSC:
05B35
Symmetry and positive definiteness in oriented matroids. (English) Zbl 0649.05023
Reviewer: J.Libicher
MSC:
05B35
Polytopal and nonpolytopal spheres. An algorithmic approach. (English) Zbl 0639.52004
Reviewer: G.Wegner
Extension equivalence of oriented matroids. (English) Zbl 0629.05026
Reviewer: J.Libicher
Adjoints of oriented matroids. (English) Zbl 0628.05014
MSC:
05B35
Separation par une droite dans les matroïdes orientés de rang 3. (Separation of oriented matroids of rang 3 by a line). (French) Zbl 0595.05020
MSC:
05B35
A problem of McMullen on the projective equivalences of polytopes. (English) Zbl 0573.52009
Reviewer: V.Soltan
A combinatorial perspective on the non-Radon partitions. (English) Zbl 0571.05014
J. Comb. Theory, Ser. A 38, 38-47 (1985); erratum ibid. 40, 194 (1985).
Reviewer: D.M.Bressoud
Polarity and inner products in oriented matroids. (English) Zbl 0573.05015
Reviewer: J.Libicher
MSC:
05B35
Triangulations of oriented matroids and convex polytopes. (English) Zbl 0557.05026
Reviewer: J.G.Oxley
The acyclic sets of an oriented matroid. (English) Zbl 0542.05023
Reviewer: J.G.Oxley
MSC:
05B35
On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs. (English) Zbl 0539.05024
Reviewer: J.G.Oxley
The directions determined by n points in the plane: A matroidal generalization. (English) Zbl 0507.05015
Sur les matroides orientes de rang 3 et les arrangements de pseudodroites dans le plan projectif réel. (French) Zbl 0501.05021
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