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Number of walks and degree powers in a graph
- Source :
-
Discrete Mathematics . Apr2009, Vol. 309 Issue 8, p2613-2614. 2p. - Publication Year :
- 2009
-
Abstract
- Abstract: This note deals with the relationship between the total number of -walks in a graph, and the sum of the -th powers of its vertex degrees. In particular, it is shown that the the number of all -walks is upper bounded by the sum of the -th powers of the degrees. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 309
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 37231066
- Full Text :
- https://doi.org/10.1016/j.disc.2008.03.025