Author: "Li, Jianxi" / Journal: applied mathematics letters / Language: english / Topic: graph theory - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Li, Jianxi" Topic graph theory Language english Journal applied mathematics letters

Author: Xu, Kexiang, Li, Jianxi, and Zhong, Lingping
Subjects: *GRAPH theory, *GRAPH connectivity, *SET theory, *VERTEX operator algebras, *MAXIMA & minima, *INDEXES
Abstract: Abstract: The Hosoya index and the Merrifield–Simmons index of a graph are defined as the total number of the matchings (including the empty edge set) and the total number of the independent vertex sets (including the empty vertex set) of the graph, respectively. Let be the set of connected -vertex graphs with connectivity at most . In this note, we characterize the extremal (maximal and minimal) graphs from with respect to the Hosoya index and the Merrifield–Simmons index, respectively. [Copyright &y& Elsevier]
Published: 2012
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