Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Randrianarisoa, Tovohery"'
Autor:
Árnadóttir, Arnbjörg Soffía, Gordeev, Alexey, Lato, Sabrina, Randrianarisoa, Tovohery, Vermant, Joannes
Evra, Feigon, Maurischat, and Parzanchevski (2023) introduced a biregular extension of Cayley graphs. In this paper, we reformulate their definition and provide some basic properties. We also show how these Cayley incidence graphs relate to various n
Externí odkaz:
http://arxiv.org/abs/2411.19428
We introduce the notion of power lattices that unifies and extends the equicardinal geometric lattices, Cartesian products of subspace lattices, and multiset subset lattices, among several others. The notions of shellability for simplicial complexes,
Externí odkaz:
http://arxiv.org/abs/2407.08629
Autor:
Ghorpade, Sudhir R., Pratihar, Rakhi, Randrianarisoa, Tovohery H., Verdure, Hugues, Wilson, Glen
The theory of shellable simplicial complexes brings together combinatorics, algebra, and topology in a remarkable way. Initially introduced by Alder for $q$-simplicial complexes, recent work of Ghorpade, Pratihar, and Randrianarisoa extends the study
Externí odkaz:
http://arxiv.org/abs/2403.07102
We generalize a sparsity condition for hypergraphs and show a result relating sparseness of hypergraphs to the decomposition of a modified incidence graph into edge-disjoint spanning forests. We also give new sparsity conditions for posets, and defin
Externí odkaz:
http://arxiv.org/abs/2306.05050
We first give two new proofs of an old result that the reduced Euler characteristic of a matroid complex is equal to the M\"obius number of the lattice of cycles of the matroid up to the sign. The purpose has been to find a model to establish an anal
Externí odkaz:
http://arxiv.org/abs/2210.12483
We consider the class of linear antipodal two-weight rank metric codes and discuss their properties and characterization in terms of $t$-spreads. It is shown that the dimension of such codes is $2$ and the minimum rank distance is at least half of th
Externí odkaz:
http://arxiv.org/abs/2208.07295
We consider a $q$-analogue of abstract simplicial complexes, called $q$-complexes, and discuss the notion of shellability for such complexes. It is shown that $q$-complexes formed by independent subspaces of a $q$-matroid are shellable. Further, we e
Externí odkaz:
http://arxiv.org/abs/2102.13102
We introduce the notion of sum-matroids and show its association with sum-rank metric codes. As a consequence, some results for sum-rank metric codes by Mart\'inez-Pe\~nas are generalized for sum-matroids. The sum-matroids generalize the notions of m
Externí odkaz:
http://arxiv.org/abs/1912.09984
We define a class of automorphisms of rational function fields of finite characteristic and employ these to construct different types of optimal linear rank-metric codes. The first construction is of generalized Gabidulin codes over rational function
Externí odkaz:
http://arxiv.org/abs/1907.05508
In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes. We give a complete classification of constant rank weight code and we gi
Externí odkaz:
http://arxiv.org/abs/1907.04372