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Paper   IPM / M / 9539
School of Mathematics
  Title:   A note on the spectral characterization of θ-graphs
1.  F. Ramezani
2.  B. Tayfeh-Rezaie (Joint with N. Broojerdian)
  Status:   Published
  Journal: Linear Algebra Appl.
  Vol.:  431
  Year:  2009
  Pages:   626-632
  Supported by:  IPM
We consider θ-graphs, that is, graphs obtained by subdividing the edges of the multigraph consisting of 3 parallel edges. It is shown that any θ-graph G is determined by the spectrum (the multiset of eigenvalues) except possibly when it contains a unique 4-cycle.

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