November 2019 Vertex and Edge Padmakar-Ivan Indices of Unitary Cayley Graphs
Roshan Sara Philipose, Sarasija Perurkada Balakrishnan
Missouri J. Math. Sci. 31(2): 146-151 (November 2019). DOI: 10.35834/2019/3102146

Abstract

In graph theory, many topological indices based on vertex and edge distances are utilized in theoretical chemistry. Even though there are many such indices, we restrict our attention in this paper to the vertex Padmakar-Ivan index $PI_v(G)$ and the edge Padmakar-Ivan index $PI_e(G)$ of a simple connected graph $G$ without directed edges. We shall emphasize the computation of the vertex and edge Padmakar-Ivan indices of unitary Cayley graphs, $X_n$.

Citation

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Roshan Sara Philipose. Sarasija Perurkada Balakrishnan. "Vertex and Edge Padmakar-Ivan Indices of Unitary Cayley Graphs." Missouri J. Math. Sci. 31 (2) 146 - 151, November 2019. https://doi.org/10.35834/2019/3102146

Information

Published: November 2019
First available in Project Euclid: 16 November 2019

zbMATH: 07276122
MathSciNet: MR4032192
Digital Object Identifier: 10.35834/2019/3102146

Subjects:
Primary: 05C50
Secondary: 05C78

Keywords: edge Padmakar-Ivan index , topological index , unitary Cayley Graphs , vertex Padmakar-Ivan index

Rights: Copyright © 2019 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.31 • No. 2 • November 2019
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