Maximum Reciprocal Degree Resistance Distance Index of Bicyclic Graphs

被引:0
|
作者
Cai, Gaixiang [1 ]
Li, Xing-Xing [1 ]
Yu, Guidong [1 ,2 ]
机构
[1] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Peoples R China
[2] Hefei Presch Educ Coll, Basic Dept, Hefei 230013, Peoples R China
基金
中国国家自然科学基金;
关键词
MOLECULAR-ORBITALS; HARARY INDEX;
D O I
10.1155/2021/9998763
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The reciprocal degree resistance distance index of a connected graph G is defined as RDR(G) = Sigma({u,v}subset of 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 B-n denote the set of bicyclic graphs without common edges and with n vertices. We study the graph with the maximum reciprocal degree resistance distance index among all graphs in B-n and characterize the corresponding extremal graph.
引用
收藏
页数:14
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