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math.SP2026
Graphs with maximal Laplacian eigenvalue multiplicity
Songnian Xu, Xiaoya Li, Dein Wong +1
In this paper, \( G \) is a simple connected graph, and \( m_G(λ) \) denotes the multiplicity of \( λ\) as an eigenvalue of the Laplacian matrix \( L(G) \). Let \( p(G) \) denote t…
math.SP2026
The multiplicity of the laplacian eigenvalue 1 of a tree
Songnian Xu, Dein Wong, Wenhao Zhen
Let be a connected, undirected simple graph. Denote by the Laplacian matrix of , and let be the multiplicity of an eigenvalue of . When is a…