Algebra and Combinatorics

 

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Author(s)
Carlos Fonseca;

Title
On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree

Abstract
A different approach is given to recent results due mainly to R.C. Johnson and A. Leal Duarte on the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree. The technics developed are based on some results of matchings polynomials and use a work by O.L. Heilmann and E.H. Lieb on an apparently unrelated topic.

Preprint series
Pré-publicações do Departamento de Matemática da Universidade de Coimbra

Issue
04-11

Year
2004

 
     
 

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