An Application of Hoffman Graphs for Spectral Characterizations of Graphs

نویسندگان

  • Qianqian Yang
  • Aida Abiad
  • Jacobus H. Koolen
چکیده

In this paper, we present the first application of Hoffman graphs for spectral characterizations of graphs. In particular, we show that the 2clique extension of the (t+ 1)× (t+ 1)-grid is determined by its spectrum when t is large enough. This result will help to show that the Grassmann graph J2(2D,D) is determined by its intersection numbers as a distance regular graph, if D is large enough.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2017