Leap Zagreb indices for the Central graph of graph

Ammar Alsinai\(^{a,*}\), Anwar Alwardi\(^b\), Hanan Ahmed\(^c\), N. D. Soner\(^a\)
\(^a\)Department of Studies in Mathematics, University of Mysore, Manasagangotri Mysuru – 570 006, India.
\(^b\)Department of Mathematics, University of Aden, Yemen.
\(^c\)Department of Mathematics, Yuvaraja’s college, University of Mysore, India.
Correspondence should be addressed to: Ammar Alsinai at aliiammar1985@gmail.com

Copyright © 2021 Ammar Alsinai, Anwar Alwardi, Hanan Ahmed, N. D. Soner. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: Received: 5 March 2021; Accepted: 25 July 2021; Published Online: 26 August 2021.

Abstract

The first, second and third leap Zagreb indices are the sum of squares of second degrees of vertices of G, the sum of products of second degrees of pairs of adjacent vertices in G and the sum of products of first and second degrees of vertices of G, respectively. In this Paper We obtained the formal of leap Zagreb Indices for the central graph of graph. Also We compute the the first, second and third leap Zagreb for the central graph of some standard graph.

Keywords:

Leap Zagreb indices, Central graph of a graph.