Results 41 to 50 of about 511 (171)
Matroid base polytope decomposition
Advances in Applied Mathematics, 2011 23 ...
Vanessa Chatelain +1 more
openaire +2 more sources
An algorithm for determining the bases of a regular matroid
Journal of Numerical Analysis and Approximation Theory, 1988 Not available.
Dănuţ Marcu
doaj +2 more sources
Toric amplitudes and universal adjoints
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley +1 more source
Partitioning the bases of the union of matroids
Discrete Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Csongor Gy. Csehi, András Recski
openaire +3 more sources
On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
wiley +1 more source
Equicovering matroids by distinct bases
European Journal of Combinatorics, 1995 Let \(M\) be a matroid on the set \(E\) of \(m\) elements and suppose that the rank \(r(E)\) divides \(m\). Then \(E\) can be partitioned into distinct bases iff \(| X|/ r(X)\leq m/r(E)\) holds for all \(X\subseteq E\). The cyclic order conjecture (see \textit{Y. Kajitani}, \textit{S. Ueno} and \textit{H. Miyano} [Discrete Math. 72, No.
Pierre Fraisse, Pavol Hell
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Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source
Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
wiley +1 more source
On Some Algorithmic and Structural Results on Flames
Journal of Graph Theory, Volume 110, Issue 4, Page 392-397, December 2025.ABSTRACT A directed graph F with a root node r is called a flame if for every vertex v other than r the local edge‐connectivity value λ F ( r , v ) from r to v is equal to ϱ F ( v ), the in‐degree of v. It is a classic, simple and beautiful result of Lovász [4] that every digraph D with a root node r has a spanning subgraph F that is a flame and the λ (
Dávid Szeszlér
wiley +1 more source
Rough matroids based on coverings
CoRR, 2013 The introduction of covering-based rough sets has made a substantial contribution to the classical rough sets. However, many vital problems in rough sets, including attribution reduction, are NP-hard and therefore the algorithms for solving them are usually greedy.
Bin Yang 0004 +2 more
openaire +2 more sources