𝔖 Bobbio Scriptorium
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Bounds on trees

✍ Scribed by Miodrag Sokić


Book ID
108114286
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
257 KB
Volume
311
Category
Article
ISSN
0012-365X

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Let λ 1 (T ) and λ 2 (T ) be the largest and the second largest eigenvalues of a tree T , respectively. We obtain the following sharp lower bound for λ 1 (T ): where d i is the degree of the vertex v i and m i is the average degree of the adjacent vertices of v i . Equality holds if and only if T i