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Recognition of prime graphs from a prime subgraph.
- Source :
-
Discrete Mathematics . Jul2014, Vol. 327, p76-90. 15p. - Publication Year :
- 2014
-
Abstract
- Abstract: Given a graph , a subset of is a module of if for each , is adjacent to all the elements of or to none of them. A graph is prime if and the only modules of are , , and singleton vertex sets. Given a prime induced subgraph , we introduce a digraph that yields a necessary and sufficient condition for to be prime. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 327
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 95630678
- Full Text :
- https://doi.org/10.1016/j.disc.2014.03.015