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1. Maximum Reciprocal Degree Resistance Distance Index of Unicyclic Graphs

Author

Gai-Xiang Cai, Xing-Xing Li, and Gui-Dong Yu

Subjects
Mathematics, QA1-939
Abstract

The reciprocal degree resistance distance index of a connected graph G is defined as RDRG=∑u,v⊆VGdGu+dGv/rGu,v, where rGu,v is the resistance distance between vertices u and v in G. Let Un denote the set of unicyclic graphs with n vertices. We study the graph with maximum reciprocal degree resistance distance index among all graphs in Un and characterize the corresponding extremal graph.

Published
2020
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