Maximum Reciprocal Degree Resistance Distance Index of Unicyclic Graphs. (8th August 2020) - Cai, Gai-Xiang
Abstract : The reciprocal degree resistance distance index of a connected graph G is defined as RDR G = ∑ u, v ⊆ V G d G u + d G v / r G u, v, where r G u, v is the resistance distance between vertices u and v in G . Let U n denote the set of unicyclic graphs with n vertices. We study the graph with maximum reciprocal degree resistance distance index among all graphs in U n and characterize the corresponding extremal graph.