A short note on the sum of k largest distance eigenvalues of bipartite graphs

Abstract

Let $G$ be a connected graph on $n$ vertices and $k\ge 1$. We prove that the sum of the first two distance eigenvalues is not greater than $2n-4$, which confirm a conjecture proposed by Lin.

Publication
In Discrete Applied Mathematics
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Lu Lu(鲁卢)
Lu Lu(鲁卢)
Associate Professor, PhD Supervisor

My research interests include algebraic graph theory, spectral graph theory and group theory.