Ji-Ming Guo

collaborators

3 papers

math.CO2023

A relation between multiplicity of nonzero eigenvalues and the matching number of graph

Qian-Qian Chen, Ji-Ming Guo

Let $G$ be a graph with an adjacent matrix $A (G)$ . The multiplicity of an arbitrary eigenvalue $λ$ of $A (G)$ is denoted by $m_{λ} (G)$ . In \cite{Wong}, the author apply the Pater-Wien…

math.CO2023

The multiplicity of a Hermitian eigenvalue on graphs

Qian-Qian Chen, Ji-Ming Guo, Zhiwen Wang

For a graph $G$ , let $S (G)$ be the set consisting of Hermitian matrices whose graph is $G$ . Denoted by $m_{B} (G, λ)$ the multiplicity of an eigenvalue $λ$ of $B(G)\in \mathc…

math.CO2023

The spectral radius of graphs with fractional matching number

Qian-Qian Chen, Ji-Ming Guo

Let $G_{n, β^{*}}$ $(G_{n, β^{*}}^{*})$ be the set of all (connected) graphs of order $n$ with fractional matching number $β^{*}$ . In this paper, the graphs with maximal…