ON SOME TOPOLOGICAL INDICES OF THE GENERALIZED HIERARCHICAL PRODUCT OF GRAPHS
The generalized hierarchical product of graphs was introduced very recently by L. Barriére et al. In this paper, revised Szeged and new version of Zagreb indices of generalized hierarchical product of two connected graphs are obtained. Using the results
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doaj
On extremal cacti with respect to the edge revised Szeged index
Let $G$ be a connected graph. The edge revised Szeged index of $G$ is defined as $Sz^{\ast}_{e}(G)=\sum\limits_{e=uv\in E(G)}(m_{u}(e|G)+\frac{m_{0}(e|G)}{2})(m_{v}(e|G)+\frac{m_{0}(e|G)}{2})$, where $m_{u}(e|G)$ (resp., $m_{v}(e|G)$) is the number of edges whose distance to vertex $u$ (resp., $v$) is smaller than the distance to vertex $v$ (resp., $u$)
He, Shengjie, Hao, Rong-Xia, Li, Deming
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