Reduced second Zagreb index of product graphs
https://doi.org/10.17586/2220-8054-2020-11-2-131-137
Abstract
The reduced second Zagreb index of a graph G is defined as RM2(G) = X (dG(u)−1)(dG(v)−1), where dG(v) denotes the degree uv∈E(G) of the vertex v of graph G. Recently Furtula et al. (Furtula B., Gutman I., Ediz S. Discrete Appl. Math., 2014) characterized the maximum trees with respect to reduced second Zagreb index. The aim of this paper is to compute reduced second Zagreb index of the Cartesian product of k (≥ 2) number of graphs and hence as a consequence the reduced second Zagreb index of some special graphs applicable in various real world problems are computed. Topological properties of different nanomaterials like nanotube, nanotorus etc. are studied here graphically in terms of the aforesaid aforementioned index.
About the Author
N. De
Department of Basic Sciences and Humanities (Mathematics),
Calcutta Institute of Engineering and Management
India
India
Kolkata
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For citations:
De N. Reduced second Zagreb index of product graphs. Nanosystems: Physics, Chemistry, Mathematics. 2020;11(2):131–137. https://doi.org/10.17586/2220-8054-2020-11-2-131-137
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