On the sum of eccentric subgraph numbers of the vertices of a connected graph

Akash De, Kamal Lochan Patra

Let $G$ be a connected graph. The eccentric subgraph number $\epsilon (v)$ of a vertex $v$ of $G$ is defined as $\epsilon (v)=\min \{f_G(v,u):u\in V(G)\}$, where $f_G(v,u)$ is the number of connec…