| Autor: |
K., Karthik, Hegde, Chandru, Sooryanarayana, B. |
| Předmět: |
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| Zdroj: |
South East Asian Journal of Mathematics & Mathematical Sciences; Apr2023, Vol. 19 Issue 1, p201-210, 10p |
| Abstrakt: |
In a simple connected graph G = (V,E), a subset S of V is a defensive alliance if every vertex v ∈ S has at most one more neighbour in V - S than it has in S. The minimum cardinality of a defensive alliance in G is called the defensive alliance number of G, denoted by a(G). A k-strong defensive alliance S is a defensive alliance in G, in which removal of any set of at most k vertices does not affect its defensive property. The k-strong defensive alliance number of G is the minimum cardinality of a k-strong defensive alliance in G, denoted by ak(G). In this paper, some properties of k-strong defensive alliances are discussed and the k-strong defensive alliance numbers of some classes of graphs are obtained. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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