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https://hdl.handle.net/10316/7761
Title: | Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph | Authors: | Leal-Duarte, António Johnson, Charles R. |
Issue Date: | 2004 | Citation: | Positivity. 8:2 (2004) 209-213 | Abstract: | 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 symmetric nonnegative inverse eigenvalue problem with respect to a graph | URI: | https://hdl.handle.net/10316/7761 | DOI: | 10.1023/B:POST.0000042733.60148.47 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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