期刊论文

Zhang, MJ

英文

Discrete Mathematics

0012-365X

2024

347

3

113797

10.1016/j.disc.2023.113797

National Natural Science Foundation of China [12171190]; Excellent young and middle-aged science and Technology Innovation team project of the Education Department of Hubei Province [T2022029]; Research ability cultivation fund of HUAS, China [2020kypytd006]

本校为第一机构

A mixed graph M-G is obtained from a simple graph G by orienting an edge subset of G. A signed mixed graph is a mixed graph with arcs and edges signed + or -. The unit Eisenstein matrix (epsilon-matrix for short) of a signed mixed graph was recently introduced by Wissing and van Dam [32]. This novel matrix is indexed by the vertices of the signed mixed graph, and the entry corresponding to a positive arc from u to v is equal to omega = 1+i root 3/2 (and its symmetric entry is (omega) over bar = 1-i root 3/2); the entry corresponding to a negative arc is equal to -omega (and its symmetric entry...