Title of article
Total Eccentricity Index of the Generalized Hierarchical Product of Graphs
Author/Authors
de, nilanjan calcutta instituteof engineering and management - department of basic sciences and humanities (mathematics), India , abu nayeem, sk. md. aliah university - department of mathematics, India , pal, anita national institute of technology - department of mathematics, India
From page
503
To page
511
Abstract
Let G = (V(G), E(G)) be a connected graph. The total eccentricity index of G is defined as ζ(G) = v∈V(G) εG(v), where εG(v) is the eccentricity of the vertex v. In this paper, we compute the total eccentricity of generalized hierarchical product of graphs. Moreover, we derive some explicit formulae for total eccentricity index of F-sum graph, Cartesian product, Cluster product and Corona product of graphs and apply those results to find the total eccentricity index of various classes of chemical graphs and nanostructures.
Keywords
Eccentricity · Graph invariant · Total eccentricity index · Graph operations
Journal title
International Journal Of Applied and Computational Mathematics
Journal title
International Journal Of Applied and Computational Mathematics
Record number
2603317
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