Showing 2026Show all
3 papers · 1 filter
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…
math.GR2026
On automorphism group of the reduced finitary power monoid of the additive group of integers
Dein Wong, Songnian Xu, Chi Zhang +1
Let be the additive group of all integers and the sub-monoid of of all non-negative integers. For a finite subset of , we den…