THIRD ZAGREB INDEX, FORGOTTEN INDEX AND COINDICES OF SOME CLUSTER GRAPHS
H. S. RAMANE
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India.
M. M. GUNDLOOR
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India.
R. B. JUMMANNAVER *
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
The investigation of topological indices play an important role in Quantitative structure-activity relationships (QSAR) and Quantitative structure- property relationships (QSPR). The graphs with large number of edges are referred as graph representation of inorganic clusters, so-called cluster graphs. I. Gutman and L. Pavlović introduced four classes of graphs obtained from complete graph by deleting edges. In this paper, we investigated the third Zagreb index, forgotten index and coindices of these class of cluster graphs.
Keywords: Third Zagreb index, forgotten index, cluster graphs, complete graph