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Ordering trees by their largest eigenvalues

โœ Scribed by Wenshui Lin; Xiaofeng Guo


Book ID
104036645
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
179 KB
Volume
418
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Ordering trees by their largest eigenval
โœ An Chang; Qiongxiang Huang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

The set of trees with n vertices is denoted by T n . Hofmeister has determined the first five values of the largest eigenvalue of trees in T n and the corresponding trees for these values [Linear Algebra Appl. 260 (1997) 43]. In other words, an order of the first five trees in T n by their largest e

On the two largest eigenvalues of trees
โœ M. Hofmeister ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 650 KB

Very little is known about upper bounds for the largest eigenvalues of a tree that depend only on the vertex number. Starting from a classical upper bound for the largest eigenvalue, some refinements can be obtained by successively removing trees from consideration. The results can be used to charac