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| Paper IPM / M / 16032 |
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| Abstract: | |
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This paper deals with the eigenvalues of the adjacency matrices of threshold graphs for which −1 and 0 are considered as trivial eigenvalues.
We show that threshold graphs have no non-trivial eigenvalues in the interval [(−1−√2)/2, (−1+√2)/2].
This confirms a conjecture by Aguilar, Lee, Piato, and Schweitzer (2018).
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