Properties Determined by the Ihara Zeta Function of a Graph
Properties Determined by the Ihara Zeta Function of a Graph
In this paper, we show how to determine several properties of a finite graph $G$ from its Ihara zeta function $Z_{G}(u)$. If $G$ is connected and has minimal degree at least 2, we show how to calculate the number of vertices of $G$. To do so we use a result …