Ashraf S, Imran M, Bokhary SAUH, Akhter S. The Wiener index, degree distance index and
Gutman index of composite hypergraphs and sunflower hypergraphs.
Heliyon 2022;
8:e12382. [PMID:
36578427 PMCID:
PMC9791358 DOI:
10.1016/j.heliyon.2022.e12382]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/23/2021] [Revised: 02/17/2022] [Accepted: 12/07/2022] [Indexed: 12/14/2022] Open
Abstract
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 g-composite hypergraphs is a hypergraphs that is obtained by the union of g hypergraphs with every hypergraph has exactly one vertex in common. In this article, results of above said indices for g-composite hypergraphs, where g ≥ 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.
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