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Signless Laplacian eigenvalues and circumference of graphs.
- Source :
-
Discrete Applied Mathematics . Jul2013, Vol. 161 Issue 10/11, p1610-1617. 8p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this paper, we investigate the relation between the -spectrum and the structure of in terms of the circumference of . Exploiting this relation, we give a novel necessary condition for a graph to be Hamiltonian by means of its -spectrum. We also determine the graphs with exactly one or two -eigenvalues greater than or equal to and obtain all minimal forbidden subgraphs and maximal graphs, as induced subgraphs, with respect to the latter property. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 161
- Issue :
- 10/11
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 89069686
- Full Text :
- https://doi.org/10.1016/j.dam.2013.01.013