Results 31 to 40 of about 55 (54)

Girth in GF(q)$\textsf {GF}(q)$‐representable matroids

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3401-3407, November 2025.
Abstract We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field GF(q)$\textsf {GF}(q)$ and any integer t$t$, every cosimple GF(q)$\textsf {GF}(q)$‐representable matroid with sufficiently large girth contains either M(Kt)$M(K_t)$ or M(Kt)∗$M(K_t)^*$ as a minor.
James Davies   +4 more
wiley   +1 more source

Equivariant Hilbert and Ehrhart series under translative group actions

open access: yesJournal 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
wiley   +1 more source

Approximate‐Guided Representation Learning in Vision Transformer

open access: yesCAAI Transactions on Intelligence Technology, Volume 10, Issue 5, Page 1459-1477, October 2025.
ABSTRACT In recent years, the transformer model has demonstrated excellent performance in computer vision (CV) applications. The key lies in its guided representation attention mechanism, which uses dot‐product to depict complex feature relationships, and comprehensively understands the context semantics to obtain feature weights.
Kaili Wang   +4 more
wiley   +1 more source

A circle method approach to K‐multimagic squares

open access: yesJournal 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
wiley   +1 more source
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Bounding the number of bases of a matroid

Discrete Mathematics, 2022
James Oxley
exaly  

The Natural Matroid of an Integer Polymatroid

SIAM Journal on Discrete Mathematics, 2023
Carolyn Chun
exaly  

Optimal matroid bases with intersection constraints: valuated matroids, M-convex functions, and their applications

Mathematical Programming, 2021
Yuni Iwamasa   +2 more
exaly  

The Facets of the Bases Polytope of a Matroid and Two Consequences

Open Journal of Discrete Mathematics, 2018
Brahim Chaourar
exaly  

On Serial Symmetric Exchanges of Matroid Bases

Journal of Graph Theory, 2013
Daniel Kotlár
exaly  

k-Best constrained bases of a matroid

Zeitschrift Fuer Operations-Research, Serie B: Praxis, 1990
F Rendl
exaly  

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