The General Sum-Connectivity Indices of Benzenoid Systems and Phenylenes

被引：1
|
作者：
Ma, Feiying [1 ]
Deng, Hanyuan [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2011年 / 8卷 / 09期
关键词：
The General Sum-Connectivity Index; Benzenoid System; Phenylene; RANDIC INDEX;
D O I：
10.1166/jctn.2011.1896
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The general sum-connectivity index of a graph G = (V, E) is chi(alpha)(G) = Sigma uv is an element of E(d(u)+d(v))(alpha), where d(v) denotes the degree of a vertex v and a is a real number. The expressions for computing the general sum-connectivity indices of benzenoid systems and phenylenes are given, a relation between the general sum-connectivity indices of a phenylene and its corresponding hexagonal squeeze is determined. Also, the catacondensed hexagonal systems with the extremal general sum-connectivity indices are completely characterized.
引用
收藏
页码：1878 / 1881
页数：4
相关论文
共 50 条
  • [31] Bounds for the general sum-connectivity index of composite graphs
    Shehnaz Akhter
    Muhammad Imran
    Zahid Raza
    Journal of Inequalities and Applications, 2017
  • [32] General Sum-Connectivity Index with α ≥ 1 for Bicyclic Graphs
    Tache, Rozica Maria
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2014, 72 (03) : 761 - 774
  • [33] ON THE SUM-CONNECTIVITY INDEX
    Wang, Shilin
    Zhou, Bo
    Trinajstic, Nenad
    FILOMAT, 2011, 25 (03) : 29 - 42
  • [34] Bounds for the general sum-connectivity index of composite graphs
    Akhter, Shehnaz
    Imran, Muhammad
    Raza, Zahid
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [35] General Randic, Sum-Connectivity, Hyper-Zagreb and Harmonic Indices, and Harmonic Polynomial of Molecular Graphs
    Farahani, Mohammad Reza
    Gao, Wei
    Kanna, M. R. Rajesh
    Kumar, R. Pradeep
    Liu, Jia-Bao
    ADVANCES IN PHYSICAL CHEMISTRY, 2016,
  • [36] On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices
    Ali, Akbar
    Gutman, Ivan
    Redzepovic, Izudin
    Mazorodze, Jaya Percival
    Albalahi, Abeer M.
    Hamza, Amjad E.
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2024, 91 (03) : 725 - 740
  • [37] General sum-connectivity index of a graph and its line graph
    Chen, Xiaohong
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 443
  • [38] General sum-connectivity index of unicyclic graphs with given diameter
    Alfuraidan, Monther Rashed
    Das, Kinkar Chandra
    Vetrik, Tomas
    Balachandran, Selvaraj
    DISCRETE APPLIED MATHEMATICS, 2021, 295 : 39 - 46
  • [39] Properties of Total Transformation Graphs for General Sum-Connectivity Index
    Rani, Anam
    Imran, Muhammad
    Razzaque, Asima
    Ali, Usman
    Complexity, 2021, 2021
  • [40] Ordering Trees Having Small General Sum-Connectivity Index
    Tomescu, Ioan
    Kanwal, Salma
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2013, 69 (03) : 535 - 548
12345