Wei Wang

most citedDisproof of a conjecture on the main spectrum of generalized Bethe trees

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math.CO2022★ 1 cited

Disproof of a conjecture on the main spectrum of generalized Bethe trees

Zhidan Yan, Wei Wang

An eigenvalue of the adjacency matrix of a graph is said to be main if the all-ones vector is not orthogonal to its associated eigenspace. A generalized Bethe tree with $k$ levels…

math.CO2010

Vertex-deleted subgraphs and regular factors from regular graph

Hongliang Lu, Bing Bai, Wei Wang

Let $k$ , $m$ and $r$ be three integers such that $2 \leq k \leq m \leq r$ . Let $G$ be a $2 r$ -regular, $2 m$ -edge-connected graph of odd order. We obtain some sufficient conditions, whi…