paper

Minors of Hermitian (quasi-) Laplacian matrix of a mixed graph

arXiv:1805.05564

Abstract

A mixed graph is obtained from an unoriented graph by orienting a subset of its edges. Yu, Liu, and Qu in 2017 have established the expression for the determinant of Hermitian (quasi-) Laplacian matrix of a mixed graph. Here we find general expressions for all minors of Hermitian (quasi-) Laplacian matrix of mixed graphs.

10 pages