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On the Eigenvalue Two and Matching Number of a Tree

✍ Scribed by Yi-zheng Fan


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
136 KB
Volume
20
Category
Article
ISSN
0168-9673

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On the two largest eigenvalues of trees
✍ M. Hofmeister πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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