A result related to the largest eigenvalue of a tree

Gurusamy Vijayakumar

ArticleOriginal scientific text

Title

A result related to the largest eigenvalue of a tree

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Affiliations

School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400 005, India

Abstract

In this note we prove that {0,1,√2,√3,2} is the set of all real numbers l such that the following holds: every tree having an eigenvalue which is larger than l has a subtree whose largest eigenvalue is l.

Keywords

ENG

eigenvalues of a graph, characteristic polynomial

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Title

A result related to the largest eigenvalue of a tree

Affiliations

Abstract

Keywords

Bibliography