Proof of a problem on Laplacian eigenvalues of trees

Proof of a problem on Laplacian eigenvalues of trees Denote by μk(L(T)) the k-th Laplacian eigenvalue of a tree T. Let Tk(2t) be the set of all trees of order 2tk with perfect matchings. In this note, the trees T in 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Linear Algebra and its Applications Elsevier

Proof of a problem on Laplacian eigenvalues of trees

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Publisher
Elsevier
Copyright
Copyright © 2016 Elsevier Inc.
ISSN
0024-3795
eISSN
1873-1856
D.O.I.
10.1016/j.laa.2016.03.040
Publisher site
See Article on Publisher Site

Abstract

Denote by μk(L(T)) the k-th Laplacian eigenvalue of a tree T. Let Tk(2t) be the set of all trees of order 2tk with perfect matchings. In this note, the trees T in 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.

Journal

Linear Algebra and its ApplicationsElsevier

Published: Aug 15, 2016

References

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