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On the largest eigenvalue of a mixed graph with partial orientation.
- Source :
-
Linear Algebra & its Applications . Oct2021, Vol. 627, p150-161. 12p. - Publication Year :
- 2021
-
Abstract
- Let G be a connected graph and let T be an acyclic set of edges of G. A partial orientation σ of G with respect to T is an orientation of the edges of G except those edges of T , the resulting graph associated with which is denoted by G T σ. In this paper we prove that there exists a partial orientation σ of G with respect to T such that the largest eigenvalue of the Hermitian adjacency matrix of G T σ is at most the largest absolute value of the roots of the matching polynomial of G. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 627
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 151468371
- Full Text :
- https://doi.org/10.1016/j.laa.2021.06.003