Inertia indices of signed graphs with given cyclomatic number and given number of pendant vertices

Jie Pu, Fang Duan

Let $\hat{I}“=(G,\ddot{I}ƒ)$ be a signed graph of order $n$ with underlying graph $G$ and a sign function $\ddot{I}ƒ:E(G)\to \{+,-\}$. Denoted by $i_{+}(\hat{I}“)$, $\hat{I}¸(\hat{I}“)$ and $p(\hat{I}“)$ the positiv…