- Tytuł:
- Global alliances and independence in trees
- Autorzy:
-
Chellali, Mustapha
Haynes, Teresa - Powiązania:
- https://bibliotekanauki.pl/articles/743643.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
defensive alliance
offensive alliance
global alliance
domination
trees
independence number - Opis:
- A global defensive (respectively, offensive) alliance in a graph G = (V,E) is a set of vertices S ⊆ V with the properties that every vertex in V-S has at least one neighbor in S, and for each vertex v in S (respectively, in V-S) at least half the vertices from the closed neighborhood of v are in S. These alliances are called strong if a strict majority of vertices from the closed neighborhood of v must be in S. For each kind of alliance, the associated parameter is the minimum cardinality of such an alliance. We determine relationships among these four parameters and the vertex independence number for trees.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2007, 27, 1; 19-27
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł