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The set of trees with n vertices and the set of trees with perfect matchings are denoted by F-n and T-2k, respectively. M. Hofmeister determined the first five maximum value of the largest eigenvalue of trees in F-n and gave the corresponding trees (Linear Algebra Appl. 260 (1997) 43-59). Focusing on the largest eigenvalue of trees in T-2k, this paper will give the first seven maximum value of that of trees in T-2k and their corresponding trees. In other words, an order of trees in T-2k by their largest eigenvalues is extended to the seventh position. (C) 2002 Elsevier B.V. All rights reserved.
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DISCRETE MATHEMATICS
ISSN: 0012-365X
Year: 2003
Issue: 1-3
Volume: 269
Page: 45-63
0 . 3 0 3
JCR@2003
0 . 7 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
JCR Journal Grade:3
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