1 citations · 1 across the 2 of their papers we have counts for
5 papers
MAT-free graphic arrangements and a characterization of strongly chordal graphs by edge-labeling
Tan Nhat Tran, Shuhei Tsujie
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 a…
Chromatic Signed-Symmetric Functions of Signed Graphs
Masamichi Kuroda, Shuhei Tsujie
Stanley introduced the chromatic symmetric function of a simple graph, which is a generalization of a chromatic polynomial. This is expressed in terms of the integer points of the…
Modular Construction of Free Hyperplane Arrangements
Shuhei Tsujie
In this article, we study freeness of hyperplane arrangements. One of the most investigated arrangement is a graphic arrangement. Stanley proved that a graphic arrangement is free…
Unit Ball Graphs on Geodesic Spaces
Masamichi Kuroda, Shuhei Tsujie
Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points w…
Freeness of Hyperplane Arrangements between Boolean Arrangements and Weyl Arrangements of Type
Michele Torielli, Shuhei Tsujie
Every subarrangement of Weyl arrangements of type is represented by a signed graph. Edelman and Reiner characterized freeness of subarrangements between type $ A_{\ell…