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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
openaire +2 more sources
On the permanental sum of bicyclic graphs
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingzeng Wu, Kinkar Chandra Das
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The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences
In this paper, we characterize all extremal connected bicyclic graphs with the largest signless Laplacian spectral radius in the set of all connected bicyclic graphs with prescribed degree sequences.
Bolian Liu
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