Bounds on some monotonic topological indices of bipartite graphs with a given number of cut edges

Hanlin Chen, Renfang Wu, Hanyuan Deng

Let $I(G)$ be a topological index of a graph. If $I(G+e)<I(G)$ (or $I(G+e)>I(G)$, respectively) for each edge $e\notin G$, then $I(G)$ is monotonically decreasing (or increasing,…