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Topcu, Hatice; Sorgun, Sezer; Haemers, Willem H.
{
"@context": "https://schema.org/",
"@id": 70741,
"@type": "ScholarlyArticle",
"creator": [
{
"@type": "Person",
"affiliation": "Nevsehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkey",
"name": "Topcu, Hatice"
},
{
"@type": "Person",
"name": "Sorgun, Sezer"
},
{
"@type": "Person",
"affiliation": "Tilburg Univ, Dept Econometr & OR, Tilburg, Netherlands",
"name": "Haemers, Willem H."
}
],
"datePublished": "2019-01-01",
"description": "The pineapple graph K-p(q) is obtained by appending q pendant edges to a vertex of a complete graph K-p (p >= 3, q >= 1). We prove that among connected graphs, the pineapple graph is determined by its adjacency spectrum. Moreover, we determine all disconnected graphs which are cospectral with a pineapple graph. Thus we find for which values of p and q the pineapple graph K-p(q) is determined by its adjacency spectrum. The main tool is a recent classification of all graphs with all but three eigenvalues equal to 0 or -1 by the third author. (C) 2018 Elsevier B.V. All rights reserved.",
"headline": "The graphs cospectral with the pineapple graph",
"identifier": 70741,
"image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg",
"license": "http://www.opendefinition.org/licenses/cc-by",
"name": "The graphs cospectral with the pineapple graph",
"url": "https://aperta.ulakbim.gov.tr/record/70741"
}
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