3 papers
math.CO2022
Hermitian adjacency matrices of mixed multigraphs
Bo-Jun Yuan, Shaowei Sun, Dijian Wang
A mixed multigraph is obtained from an undirected multigraph by orienting a subset of its edges. In this paper, we study a new Hermitian matrix representation of mixed multigraphs,…
math.CO2020
On the largest eigenvalue of a mixed graph with partial orientation
Bo-Jun Yuan, Yi Wang, Yi-Zheng Fan
Let be a connected graph and let be a spanning tree of . A partial orientation of respect to is an orientation of the edges of except those edges of ,…
math.CO2019
On mixed graphs whose Hermitian spectral radii are at most 2
Bo-Jun Yuan, Yi Wang, Shi-Cai Gong +1
A mixed graph is a graph with undirected and directed edges. Guo and Mohar in 2017 determined all mixed graphs whose Hermitian spectral radii are less than . In this paper, we g…