Results 91 to 100 of about 4,266 (227)
Equivariant Hilbert and Ehrhart series under translative group actions
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
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Analyzing single-valued neutrosophic fuzzy graphs through matroid perspectives
Ain Shams Engineering JournalWe hope to present this paper on the emergence of a novel category of matroids derived from single-valued neutrosophic (SVN) fuzzy-graphs. The findings of this study make a substantial contribution to both matroid theory and the field of neutrosophic ...
S.M. Balaji, D. Meiyappan, R. Sujatha
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On secret sharing schemes, matroids and polymatroids
Journal of Mathematical Cryptology, 2010 The complexity of a secret sharing scheme is defined as the ratio between the maximum length of the shares and the length of the secret. The optimization of this parameter for general access structures is an important and very difficult open problem in ...
Martí-Farré Jaume, Padró Carles
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Isotropical Linear Spaces and Valuated Delta-Matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The spinor variety is cut out by the quadratic Wick relations among the principal Pfaffians of an $n \times n$ skew-symmetric matrix. Its points correspond to $n$-dimensional isotropic subspaces of a $2n$-dimensional vector space.
Felipe Rincón
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A circle method approach to K‐multimagic squares
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this paper, we investigate K$K$‐multimagic squares of order N$N$. These are N×N$N \times N$ magic squares that remain magic after raising each element to the k$k$th power for all 2⩽k⩽K$2 \leqslant k \leqslant K$. Given K⩾2$K \geqslant 2$, we consider the problem of establishing the smallest integer N2(K)$N_2(K)$ for which there exist ...
Daniel Flores
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Algebraic varieties characterizing matroids and oriented matroids
, 1991 Focusing on the interplay between properties of the Grassmann variety and properties of matroids and oriented matroids, this paper brings forward new algebraic methods in the theory of matroids and in the theory of oriented matroids; we introduce new ...
Bokowski, Jürgen +2 more
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Note on Hamiltonicity of Basis Graphs of Even Delta‐Matroids
Journal of Graph Theory, Volume 109, Issue 4, Page 446-453, August 2025.ABSTRACT We show that the basis graph of an even delta‐matroid is Hamiltonian if it has more than two vertices. More strongly, we prove that for two distinct edges e and f sharing a common end, it has a Hamiltonian cycle using e and avoiding f unless it has at most two vertices or it is a cycle of length at most four.
Donggyu Kim, Sang‐il Oum
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Some problems in combinatorial geometry
, 1978 This thesis is in two parts. The first two chapters deal with infinite matroids and the remaining three chapters with finite matroids. Chapter 1 has two main results.
Oxley, James G., Oxley, J. G.
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, 1997 The class of matroids representable over all fields is the class of regular matroids. The class of matroids representable over all fields except perhaps GF(2) is the class of near-regular matroids.
Semple, Charles A +2 more
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Generic root counts and flatness in tropical geometry
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We use tropical and nonarchimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space Y$Y$. In particular, we are interested in the choices of parameters for which the generic root count is attained.
Paul Alexander Helminck, Yue Ren
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