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The graphs cospectral with the pineapple graph

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


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{
  "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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Alıntı yap

Topcu, H., Sorgun, S. ve Haemers, W. H. (2019). The graphs cospectral with the pineapple graph. DISCRETE APPLIED MATHEMATICS, 269, 52–59. doi:10.1016/j.dam.2018.10.002

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