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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Subba Krishna K.N.
Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysuru - 570 006, India
Electrical & Electronics Engineering

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Spectra of the extended neighborhood corona and extended corona of two graphs Chandrashekar Adiga; Rakshith B.R.; Subba Krishna K.N.
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 4, No 1 (2016): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2016.4.1.9

Abstract

In this paper we define extended corona and extended neighborhoodcorona of two graphs $G_{1}$ and $G_{2}$, which are denoted by$G_{1}\bullet G_{2}$ and $G_{1}\ast G_{2}$ respectively. Wecompute their adjacency spectrum, Laplacian spectrum and signlessLaplacian spectrum. As applications, we give methods to constructinfinite families of integral graphs, Laplacian integral graphsand expander graphs from known ones.
Co-Authors Chandrashekar Adiga Rakshith B.R.