Open AccessHZ-Coindex for the Sum-Graphs under Cartesian Product
Author(s) -
Muhammad Javaid,
Muhammad Ibraheem
Publication year - 2022
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.540304
Subject(s) - cartesian product , combinatorics , graph product , 1 planar graph , pathwidth , indifference graph , cograph , mathematics , vertex (graph theory) , modular decomposition , clique sum , discrete mathematics , chordal graph , symmetric graph , graph , line graph , voltage graph
:Let G = (V (G), E(G)) be a simple connected graph with V (G) and E(G) as the vertex and edge sets respectively. The physical and structural properties of the graphs are discussed with different mathematical tools, One of them is topological index (TI) and it can be obtained directly from molecular structures and rapidly computed for large numberof molecules. Graph operations play an important role in the development of various new classes of graphs. If G is a connected simple graph then we obtained new graphs by applying various operations on G such as S subdivided, R triangle parallel, Q line superposition and T total graphs operations on G. In this paper, we computed the hyper Zagreb coindex of derived graphs in the form of their factor graphs. At the end, we haveanalyzed our results by the numerical tables for the particular generalizedD-sum graphs