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Summary: The PI index of a graph \(G\) is given by \(\operatorname{PI}(G)=\sum_{e\in E(G)} (|V(G)|-N_G(e))\), where \(N_G(e)\) is the number of equidistant vertices for the edge \(e\). Various topological indices of bicyclic graphs have already been calculated. In this paper, we obtained the exact value of the PI index of bicyclic graphs.
SC, Manju, K, Somasundaram
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Extremal Bicyclic 3-Chromatic Graphs
Graphs and Combinatorics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomescu, Ioan, Javed, Sana
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