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05259320 Wang, Bo Ye, Chengfu Zhao, Haixing Extremal unicyclic graphs with respect to Merrifield-Simmons index. MATCH Commun. Math. Comput. Chem. 59, No. 1, 203-216 (2008). 2008 University of Kragujevac \& Faculty of Science Kragujevac, Kragujevac EN vertex independent set The Merrifield--Simmons index of a graph $G$ is the total number of vertex independent subsets in $G$. The authors obtain the smallest value of Merrifield--Simmons index for the set of unicyclic graphs on $n$ vertices and girth $k$ ($3\leq k Slobodan Simi\'c (Beograd)