New families of graphs determined by their generalized spectrum

Fenjin Liu, Johannes Siemons, Wei Wang

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We construct infinite families of graphs that are determined by their generalized spectrum. This construction is based on new formulae for the determinant of the walk matrix of a graph. All graphs constructed here satisfy a certain extremal divisibility condition for the determinant of their walk matrix.

Original languageEnglish
Pages (from-to)1108-1112
Number of pages5
JournalDiscrete Mathematics
Issue number4
Early online date14 Jan 2019
Publication statusPublished - Apr 2019


  • Graph spectrum
  • Graphs determined by generalized spectrum
  • Walk matrix

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