Dominating Sets and Domination Polynomials of Paths

Let G=(V,E) be a simple graph. A set S⊆V is a dominating set of G, if every vertex in V\S is adjacent to at least one vertex in S. Let 𝒫ni be the family of all dominating sets of a path Pn with cardinality i, and let d(Pn,j)=|𝒫nj|. In this paper, we construct 𝒫ni,...

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Bibliographic Details
Main Authors: Saeid Alikhani, Yee-Hock Peng
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/542040