Dergi makalesi Açık Erişim
Topcu, Hatice; Sorgun, Sezer; Haemers, Willem H.
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"affiliation": "Nevsehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkey",
"name": "Topcu, Hatice"
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"affiliation": "Tilburg Univ, Dept Econometr & OR, Tilburg, Netherlands",
"name": "Haemers, Willem H."
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"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.",
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"pages": "52-59",
"title": "DISCRETE APPLIED MATHEMATICS",
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"title": "The graphs cospectral with the pineapple graph"
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