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
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2021年 / 2021卷
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
相关论文
共 50 条
  • [21] Further results on the reciprocal degree distance of graphs
    Li, Shuchao
    Zhang, Huihui
    Zhang, Minjie
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2016, 31 (02) : 648 - 668
  • [22] Reformulated Reciprocal Product Degree Distance of Graphs
    Pattabiraman, K.
    Kaladevi, V.
    Murugesan, R.
    UTILITAS MATHEMATICA, 2018, 108 : 169 - 184
  • [23] Reciprocal Product-Degree Distance of Graphs
    Su, Guifu
    Xiong, Liming
    Gutman, Ivan
    Xu, Lan
    FILOMAT, 2016, 30 (08) : 2217 - 2231
  • [24] Unicyclic and bicyclic graphs having minimum degree distance
    Tomescu, Alexandru Ioan
    DISCRETE APPLIED MATHEMATICS, 2008, 156 (01) : 125 - 130
  • [25] GENERALIZED DEGREE DISTANCE OF TREES, UNICYCLIC AND BICYCLIC GRAPHS
    Hamzeh, Asma
    Iranmanesh, Ali
    Hossein-Zadeh, Samaneh
    Diudea, Mircea V.
    STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA, 2012, 57 (04): : 73 - 85
  • [26] Some More Results on Reciprocal Degree Distance Index and F-Sum Graphs
    Razzaque, Asima
    Noor, Saima
    Kanwal, Salma
    Manzoor, Ayesha
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [27] Extremal Properties of Kirchhoff Index and Degree Resistance Distance of Unicyclic Graphs
    Qi, Xuli
    Du, Zhibin
    Zhang, Xutao
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2020, 84 (03) : 671 - 690
  • [28] Degree distance index of class of graphs
    Harshitha, A.
    D'Souza, Sabitha
    Bhat, Pradeep G.
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2023,
  • [29] On the maximum Graovac-Pisanski index of bicyclic graphs
    Lu, Jian
    Wang, Zhongxiang
    AIMS MATHEMATICS, 2023, 8 (10): : 24914 - 24928
  • [30] Bicyclic Graphs With Maximum Geometric-Arithmetic Index
    Hasni, Roslan
    Husin, Nor Hafizah Md
    APPLIED MATHEMATICS E-NOTES, 2020, 20 : 8 - +
12345