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Topcu, Hatice; Sorgun, Sezer; Haemers, Willem H.
{
"DOI": "10.1016/j.dam.2018.10.002",
"abstract": "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.",
"author": [
{
"family": "Topcu",
"given": " Hatice"
},
{
"family": "Sorgun",
"given": " Sezer"
},
{
"family": "Haemers",
"given": " Willem H."
}
],
"container_title": "DISCRETE APPLIED MATHEMATICS",
"id": "70741",
"issued": {
"date-parts": [
[
2019,
1,
1
]
]
},
"page": "52-59",
"title": "The graphs cospectral with the pineapple graph",
"type": "article-journal",
"volume": "269"
}
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