Spectral Conditions for the Bipancyclic Bipartite Graphs

Abstract

Let $G = (X, Y; E)$ be a bipartite graph with two vertex partition subsets $X$ and $Y$. $G$ is said to be balanced if $|X| = |Y|$. $G$ is said to be bipancyclic if it contains cycles of every even length from $4$ to $|V(G)|$. In this note, we present spectral conditions for the bipancyclic bipartite graphs.