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On Laplacian energy of graphs.
- Source :
-
Discrete Mathematics . Jun2014, Vol. 325, p52-64. 13p. - Publication Year :
- 2014
-
Abstract
- Abstract: Let be a graph with vertices and edges. Also let be the eigenvalues of the Laplacian matrix of graph . The Laplacian energy of the graph is defined as In this paper, we present some lower and upper bounds for of graph in terms of , the number of edges and the maximum degree . Also we give a Nordhaus–Gaddum-type result for Laplacian energy of graphs. Moreover, we obtain a relation between Laplacian energy and Laplacian-energy-like invariant of graphs. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 325
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 95224955
- Full Text :
- https://doi.org/10.1016/j.disc.2014.02.017