Article ID Journal Published Year Pages File Type
4598513 Linear Algebra and its Applications 2016 10 Pages PDF
Abstract

Denote by μk(L(T))μk(L(T)) the k-th Laplacian eigenvalue of a tree T  . Let Tk(2t)Tk(2t) be the set of all trees of order 2tk2tk with perfect matchings. In this note, the trees T   in Tk(2t)Tk(2t) with μk(L(T))=t+2+t2+42 are characterized, which solves Problem of J.X. Li, W.C. Shiu and A. Chang in [3] completely.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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