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On the th Laplacian eigenvalues of trees with perfect matchings

โœ Scribed by Jianxi Li; Wai Chee Shiu; An Chang


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
132 KB
Volume
432
Category
Article
ISSN
0024-3795

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We define the Laplacian ratio of a tree z(T), to be the permanent of the Laplacian matrix of T divided by the product of the degrees of the vertices. Best possible lower and upper bounds are obtained for ~r(T) in terms of the size of the largest matching in T.