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On the least eigenvalue of a unicyclic mixed graph.
- Source :
-
Linear & Multilinear Algebra . Mar2005, Vol. 53 Issue 2, p97-113. 17p. - Publication Year :
- 2005
-
Abstract
- Using the result on Fiedler vectors of a simple graph, we obtain a property on the structure of the eigenvectors of a nonsingular unicyclic mixed graph corresponding to its least eigenvalue. With the property, we get some results on minimizing and maximizing the least eigenvalue over all nonsingular unicyclic mixed graphs on n vertices with fixed girth. In particular, the graphs which minimize and maximize, respectively, the least eigenvalue are given over all such graphs with girth 3. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 53
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 16669806
- Full Text :
- https://doi.org/10.1080/03081080410001681540