Global defensive alliances in complementary prism and wheel graphs

Abstract

Graphs are discrete mathematical structures whose theory is applicable to many problems. Alliances in graphs are a quite new field of study and in this paper we study the defensive alliances, which can be used as a mathematical model in web communities, social medias, food chain, etc. We describe theoretical results in wheel graphs and complementary prisms of complete graphs.

Keywords

• alliances in graphs
• global alliances
• defensive alliances
• complementary prisms
• wheel graphs