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 $\lambda$ of $A(G)$ is denoted by $m_{\lambda }(G)$. In \cite{Wong}, the author apply the Pater-Wien…