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The maximum number of maximal independent sets in unicyclic connected graphs
Authors:K.M. Koh  F.M. Dong
Affiliation:a Department of Mathematics, National University of Singapore, Singapore 117543, Singapore
b Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, Singapore 637616, Singapore
Abstract:In this paper, we determine the maximum number of maximal independent sets in a unicyclic connected graph. We also find a class of graphs achieving this maximum value.
Keywords:(Maximal) independent sets   Unicyclic graphs   Forests   Extremal graphs
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