1 Ocak 2019 Dergi makalesi Açık Erişim

Topcu, Hatice; Sorgun, Sezer; Haemers, Willem H.

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    <subfield code="u">Nevsehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkey</subfield>
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    <subfield code="a">The pineapple graph K-p(q) is obtained by appending q pendant edges to a vertex of a complete graph K-p (p &amp;gt;= 3, q &amp;gt;= 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.</subfield>
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