On the spectrum of the joins of normal matrices and applications
arXiv (Cornell University)(2022)
摘要
We study the spectrum of the join of several normal matrices with constant row sums. We apply our results to compute the characteristic polynomial of the join of several regular graphs. We then use this calculation to study several problems in spectral graph theory. In particular, we provide some simple constructions of Ramanujan graphs and give new proofs for some theorems in [4].
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关键词
normal matrices,joins,spectrum
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