A New Method to Find the Wiener Index of Hypergraphs

Abstract EN

The Wiener index is defined as the summation of distances between all pairs of vertices in a graph or in a hypergraph.

Both models—graph-theoretical and hypergraph-theoretical—are used in mathematical chemistry for quantitatively studying physical and chemical properties of classical and nonclassical organic compounds.

In this paper, we consider relationships between hypertrees and trees and hypercycles and cycles with respect to their Wiener indices.