Graph Theory
 2018
DOI: 10.1007/978-3-319-97686-0_4
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A Conjecture on Laplacian Eigenvalues of Trees

Dean Jacobs
1
,
Vilmar Trevisan
2

Abstract: We show that the number of Laplacian eigenvalues less than the average degree 2 − 2 n of a tree having n vertices is at least ⌈ n 2 ⌉.1991 Mathematics Subject Classification. 05C50, 05C05, 15A18.

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