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

页数：10

共 50 条

[21] An inequality between the edge-Wiener index and the Wiener index of a graph
Knor, Martin
Skrekovski, Riste
Tepeh, Aleksandra
APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 714 - 721
[22] The limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain
Zhang, Jinlian
Peng, Xuhui
Chen, Hanlin
DISCRETE APPLIED MATHEMATICS, 2021, 299 (299) : 62 - 73
[23] INVERTED DISTANCE AND INVERTED WIENER INDEX
Ediz, Suleyman
Cancan, Murat
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2016, 17 (01): : 11 - 19
[24] Gutman index of product graphs
Paulraja, P.
Agnes, V. Sheeba
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2014, 6 (04)
[25] THE GUTMAN INDEX OF UNICYCLIC GRAPHS
Feng, Lihua
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2012, 4 (03)
[26] Wiener index of a type of composite graph
Hu, Mingjun
ARS COMBINATORIA, 2012, 106 : 59 - 64
[27] The Gutman Index and Schultz Index in the Random Phenylene Chains
Wei, Lina
Bian, Hong
Yu, Haizheng
Yang, Xiaoying
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2021, 12 (02): : 67 - 78
[28] A STUDY ON THE MINIMUM DEGREE WIENER INDEX OF GRAPHS
Sreeja, P.
Sreekumar, K. G.
Manilal, K.
Cangul, Ismail Naci
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2024, 42 (05): : 1121 - 1135
[29] Degree-weighted Wiener index of a graph
Lin, Zhen
Zhou, Ting
MATHEMATICAL MODELLING AND CONTROL, 2024, 4 (01): : 9 - 16
[30] Wiener index versus maximum degree in trees
Fischermann, M
Hoffmann, A
Rautenbach, D
Székely, L
Volkmann, L
DISCRETE APPLIED MATHEMATICS, 2002, 122 (1-3) : 127 - 137

← 1 2 3 4 5 →