Open AccessHyper Zagreb indices of composite graphs
Author(s) -
Sharmila Devi,
V. Kaladevi
Publication year - 2016
Publication title -
international journal of advanced mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2307-454X
DOI - 10.14419/ijams.v6i1.8406
Subject(s) - combinatorics , mathematics , subdivision , vertex (graph theory) , graph , cograph , chordal graph , discrete mathematics , 1 planar graph , geography , archaeology
For a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the degrees of vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. Similarly, the hyper Zagreb index is defined as the sum of square of degree of vertices over all the edges. In this paper, First we obtain the hyper Zagreb indices of some derived graphs and the generalized transformations graphs. Finally, the hyper Zagreb indices of double, extended double, thorn graph, subdivision vertex corona of graphs, Splice and link graphs are obtained.