Let G = (V (G), E(G)) be a graph, and let k ≥ 1 be an integer. A set S ⊆⊆ V (G) is called a global offensive k-alliance if ΙN(ν) ∩ SΙ ≥ ΙN(ν)-SΙ+k for every ν ε V (G)-S, where N(v) is the neighborhood of ν. The global offensive k-alliance number γko(G) is the minimum cardinality of a global o ensive k-alliance in G. We present di erent bounds on γko(G) in terms of order, maximum degree, independence number, chromatic number and minimum degree.
| Identifer | oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-18541 |
| Date | 01 January 2009 |
| Creators | Chellali, Mustapha, Haynes, Teresa W., Randerath, Bert, Volkmann, Lutz |
| Publisher | Digital Commons @ East Tennessee State University |
| Source Sets | East Tennessee State University |
| Detected Language | English |
| Type | text |
| Source | ETSU Faculty Works |
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