Dominating Sets and Domination Polynomials of Cycles

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 Ci n be the family of dominating sets of a cycle Cn with cardinality i, and let d(Cn, i) = |Ci n|. In this paper, we construct Ci n,and obtain a recursive formu...

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Bibliographic Details
Main Authors: Alikhania, Saeid, Yee-hock, Peng
Format: Article
Language:English
English
Published: 2008
Online Access:http://psasir.upm.edu.my/id/eprint/7111/1/136.pdf