Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph

There is a symmetric nonnegative matrix A, subordinate to a given bipartite graph G on n vertices, with eigenvalues ?1=?2==?n if and only if, ?1 + ?n=0, ?2 + ?n-1=0,...,?m + ?n - m + 1=0, ?m + 1=0,...,?n - m=0, in which m is the matching numberof G. Other observations are also made about the symmetr...

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Bibliographic Details
Main Author: Leal-Duarte, António (author)
Other Authors: Johnson, Charles R. (author)
Format: article
Language:eng
Published: 2004
Online Access:http://hdl.handle.net/10316/7761
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/7761