The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs

被引：4
|
作者：
Ashraf, Sakina [1 ]
Imran, Muhammad [2 ]
Bokhary, Syed Ahtsham Ul Haq [1 ]
Akhter, Shehnaz [3 ]
机构：
[1] Bahauddin Zakariya Univ, ACentre Adv Studies Pure & Appl Math, Multan, Pakistan
[2] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain, U Arab Emirates
[3] Natl Univ Sci & Technol, Sch Nat Sci, H-12, Islamabad, Pakistan
来源：
HELIYON | 2022年 / 8卷 / 12期
关键词：
Wiener index; Degree distance index; Gutman index; Hypergraph Sunflower hypergraph; Linear uniform hyper-paths; TOPOLOGICAL INDEXES; GRAPH; POLYNOMIALS;
D O I：
10.1016/j.heliyon.2022.e12382
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gutman index are considered. A.. -composite hypergraphs is a hypergraphs that is obtained by the union of.. hypergraphs with every hypergraph has exactly one vertex in common. In this article, results of above said indices for..-composite hypergraphs, where.. >= 2, are calculated. Further these results are used to find the Wiener index, degree distance index and Gutman index of sunflower hypergraphs and linear uniform hyper-paths.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Wiener Index, Hyper-Wiener Index, Harary Index and Hamiltonicity Properties of graphs
    Yu, Gui-dong
    Ren, Li-fang
    Li, Xing-xing
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2019, 34 (02) : 162 - 172
  • [42] Digraphs with large maximum Wiener index
    Knor, Martin
    Skrekovski, Riste
    Tepeh, Aleksandra
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 284 : 260 - 267
  • [43] y-Wiener index of composite graphs
    Hamzeh, A.
    Hossein-Zadeh, S.
    Ashrafi, A. R.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (07) : 1099 - 1104
  • [44] The minimum Wiener index of unicyclic graphs with maximum degree
    Zhang, Shan
    Chen, Xun
    Ma, Zhen-Wei
    Zhang, Xiao-Dong
    Chen, Ya-Hong
    APPLIED MATHEMATICS AND COMPUTATION, 2024, 470
  • [45] Computation of Gutman index of some cactus chains
    Sadeghieh, Ali
    Ghanbari, Nima
    Alikhani, Saeid
    ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2018, 6 (01) : 138 - 151
  • [46] DISTANCE MATRIX AND WIENER INDEX OF ARMCHAIR POLYHEX NANOTUBES
    Yousefi, Shahram
    Ashrafi, Ali Reza
    STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA, 2008, 53 (04): : 111 - 116
  • [47] ON THE AVERAGE DISTANCE AND WIENER INDEX OF CARTESIAN PRODUCT NETWORKS
    Li, Feng
    Xu, Zongben
    Zhao, Haixing
    QUANTITATIVE LOGIC AND SOFT COMPUTING, 2012, 5 : 239 - 245
  • [48] Wiener index versus Szeged index in networks
    Klavzar, Sandi
    Nadjafi-Arani, M. J.
    DISCRETE APPLIED MATHEMATICS, 2013, 161 (7-8) : 1150 - 1153
  • [49] Wiener index, Harary index and graph properties
    Feng, Lihua
    Zhu, Xiaomin
    Liu, Weijun
    DISCRETE APPLIED MATHEMATICS, 2017, 223 : 72 - 83
  • [50] On the Terminal Wiener Index of Networks
    Zeryouh, Meryam
    El Marraki, Mohamed
    Essalih, Mohamed
    PROCEEDINGS OF 2016 5TH INTERNATIONAL CONFERENCE ON MULTIMEDIA COMPUTING AND SYSTEMS (ICMCS), 2016, : 533 - 536
12345