PI Index of Bicyclic Graphs

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Sankaramalil Chithrabhanu Manju; Somasundaram Kanagasabapathi

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Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2024 | Volume:9 | Issue:3 Page(s): 425-436

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Information Journal Paper

Title

PI Index of Bicyclic Graphs

Author(s)

Sankaramalil Chithrabhanu Manju | Somasundaram Kanagasabapathi | Issue Writer Certificate

Keywords

PI index

Unicyclic

graphs

Bicyclic graphs

Extremal values

Abstract

The PI index of a graph
is given by
, where
is the number of equidistant vertices for the edge
. 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. We also explore the extremal graphs among all bicyclic graphs with respect to the PI index. Furthermore, we calculate the PI index of a cactus graph and determine the Extremal values of the PI index among cactus graphs.

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