TY - JOUR
T1 - The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs
AU - Ashraf, Sakina
AU - Imran, Muhammad
AU - Bokhary, Syed Ahtsham Ul Haq
AU - Akhter, Shehnaz
N1 - Publisher Copyright:
© 2022 The Author(s)
PY - 2022/12
Y1 - 2022/12
N2 - 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.
AB - 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.
KW - Degree distance index
KW - Gutman index
KW - Hypergraph
KW - Linear uniform hyper-paths
KW - Sunflower hypergraph
KW - Wiener index
UR - http://www.scopus.com/inward/record.url?scp=85143983765&partnerID=8YFLogxK
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U2 - 10.1016/j.heliyon.2022.e12382
DO - 10.1016/j.heliyon.2022.e12382
M3 - Article
AN - SCOPUS:85143983765
SN - 2405-8440
VL - 8
JO - Heliyon
JF - Heliyon
IS - 12
M1 - e12382
ER -