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On incidence energy of graphs.
- Source :
-
Linear Algebra & its Applications . Apr2014, Vol. 446, p329-344. 16p. - Publication Year :
- 2014
-
Abstract
- Abstract: Let be a simple graph with vertex set and edge set . The incidence matrix of G is the matrix whose -entry is 1 if is incident to and 0 otherwise. The incidence energy IE of G is the sum of the singular values of . In this paper we give lower and upper bounds for IE in terms of n, m, maximum degree, clique number, independence number, and the first Zagreb index. Moreover, we obtain Nordhaus–Gaddum-type results for IE. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 446
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 94310578
- Full Text :
- https://doi.org/10.1016/j.laa.2013.12.026