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

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.

Keywords

• Wiener index
• Degree distance index
• Gutman index
• Hypergraph
• Sunflower hypergraph
• Linear uniform hyper-paths