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The number of independent sets in unicyclic graphs with a given diameter
Authors:Shuchao Li
Affiliation:a Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, PR China
b Department of Computer Science, South Central University for Nationalities, Wuhan 430074, PR China
Abstract:Let Un,d denote the set of unicyclic graphs with a given diameter d. In this paper, the unique unicyclic graph in Un,d with the maximum number of independent sets, is characterized.
Keywords:Independent set   Unicyclic graph   Diameter
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