## “School of Mathematics”

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Paper   IPM / M / 9539
School of Mathematics
Title:   A note on the spectral characterization of θ-graphs
Author(s):
 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
Abstract:
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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