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Spectra of extended neighborhood corona and extended corona of two graphs

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    Abstract

    In this paper we define extended corona and extended neighborhood corona of two graphs G1 and G2, which are denoted by G1 • G2 and G1 * G2 respectively. We compute their adjacency spectrum, Laplacian spectrum and signless Laplacian spectrum. As applications, we give methods to construct infinite families of integral graphs, Laplacian integral graphs and expander graphs from known ones.

    Original languageEnglish
    Pages (from-to)101-110
    Number of pages10
    JournalElectronic Journal of Graph Theory and Applications
    Volume4
    Issue number1
    DOIs
    Publication statusPublished - 2016

    All Science Journal Classification (ASJC) codes

    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

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