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