On graphs with smallest eigenvalue at least -3 and their lattices

Authors: Jack H. Koolen, Jae Young Yang, Qianqian Yang

Abstract: In this paper, we show that a connected graph with smallest eigenvalue at least -3 and large enough minimal degree is 2-integrable. This result generalizes a 1977 result of Hoffman for connected graphs with smallest eigenvalue at least -2.

Submitted to arXiv on 02 Apr. 2018

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