Spectrum of Gallai Graph of Some Graphs

Jeepamol J. Palathingal (), Gopalapillai Indulal () and S. Aparna Lakshmanan ()
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Jeepamol J. Palathingal: PM Government College
Gopalapillai Indulal: St. Aloysius College
S. Aparna Lakshmanan: St. Xavier’s College for Women

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1829-1841

Abstract: Abstract The Gallai graph Γ(G) of a graph G, has the edges of G as its vertices and two distinct vertices are adjacent in Γ(G) if they are adjacent edges in G, but do not lie on a triangle. In this paper we find the adjacency spectrum of Gallai graph of some graphs derived from simple graphs by certain operations, the characteristic polynomial for some graphs and exhibit the adjacency matrix of some other graphs.

Keywords: Gallai graph; adjacency spectrum; 05C05; 15A42; 05C76 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0499-0

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