Sums of squares of eigenvalues and the vector chromatic number
arXiv (Cornell University)(2023)
摘要
In this short paper we prove that the sum of the squares of negative (or positive) eigenvalues of the adjacency matrix of a graph is lower bounded by the sum of the degrees divided by the vector chromatic number, resolving a conjecture by Wocjan, Elphick and Anekstein (2018).
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关键词
eigenvalues,squares
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