Jack H. Koolen, Masood Ur Rehman, Qianqian Yang
Published 2018-06-29Version 1
Koolen et al. showed that if a connected graph with smallest eigenvalue at least $-3$ has large minimal valency, then it is $2$-integrable. In this paper, we will prove that a lower bound for the minimal valency is 166.
Sesqui-regular graphs with smallest eigenvalue at least $-3$
Lower bound for the rank of rigidity matrix of 4-valent graphs under various connectivity assumptions
The spectral radius of subgraphs of regular graphs
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