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arxiv: math/0602436 · v1 · submitted 2006-02-20 · 🧮 math.CO

Spectral study of alliances in graphs

classification 🧮 math.CO
keywords allianceglobalnumberspectralgraphnumbersradiusalgebraic
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In this paper we obtain several tight bounds on different types of alliance numbers of a graph: (global) defensive alliance number, global offensive alliance number and global dual alliance number. In particular, we investigate the relationship between the alliance numbers of a graph and its algebraic connectivity, its spectral radius, and its Laplacian spectral radius.

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