Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Tsujie, Shuhei"'
In the present paper, we introduce the concept of universal graph series. We then present four invariants of graphs and discuss some of their properties. In particular, one of these invariants is a generalization of the chromatic symmetric function a
Externí odkaz:
http://arxiv.org/abs/2403.09985
Athanasiadis studied arrangements obtained by adding shifted hyperplanes to the braid arrangement. Similarly, Bailey studied arrangements obtained by adding tilted hyperplanes to the braid arrangement. These two kinds of arrangements are associated w
Externí odkaz:
http://arxiv.org/abs/2403.08304
The present paper explores a connection between two concepts arising from different fields of mathematics. The first concept, called vine, is a graphical model for dependent random variables. This concept first appeared in a work of Joe (1994), and t
Externí odkaz:
http://arxiv.org/abs/2311.17793
Autor:
Tran, Tan Nhat, Tsujie, Shuhei
The Shi arrangement due to Shi (1986) and the Ish arrangement due to Armstrong (2013) are deformations of the type $A$ Coxeter arrangement that share many common properties. Motivated by a question of Armstrong and Rhoades since 2012 to seek for Ish
Externí odkaz:
http://arxiv.org/abs/2304.12022
Autor:
Tsujie, Shuhei, Uchiumi, Ryo
Given a graph, we associate each edge with the transposition which exchanges the endvertices. Fixing a linear order on the edge set, we obtain a permutation of the vertices. D\'enes proved that the permutation is a full cyclic permutation for any lin
Externí odkaz:
http://arxiv.org/abs/2211.05422
Autor:
Kuroda, Masamichi, Tsujie, Shuhei
Kamiya, Takemura, and Terao initiated the theory of the characteristic quasi-polynomial of an integral arrangement, which is a function counting the elements in the complement of the arrangement modulo positive integers. They gave a period of the cha
Externí odkaz:
http://arxiv.org/abs/2208.14952
Autor:
Tran, Tan Nhat, Tsujie, Shuhei
Ideal subarrangements of a Weyl arrangement are proved to be free by the multiple addition theorem (MAT) due to Abe-Barakat-Cuntz-Hoge-Terao (2016). They form a significant class among Weyl subarrangements that are known to be free so far. The concep
Externí odkaz:
http://arxiv.org/abs/2204.08878
Autor:
Nakashima, Norihiro, Tsujie, Shuhei
The extended Shi and Catalan arrangements are well investigated arrangements. In this paper, we prove that the cone of the extended Catalan arrangement of type A is always hereditarily free, while we determine the dimension in which the cone of the e
Externí odkaz:
http://arxiv.org/abs/2111.03585
We introduce and study a digraph analogue of Stanley's $\psi$-graphical arrangements from the perspectives of combinatorics and freeness. Our arrangements form a common generalization of various classes of arrangements in literature including the Cat
Externí odkaz:
http://arxiv.org/abs/2108.02518
Publikováno v:
In European Journal of Combinatorics May 2024 118
