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2024•match Communications in Mathematical and in Computer ChemistryOpen access

A Survey of Recent Extremal Results on the Wiener Index of Trees

Hong Lin

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Abstract

The Wiener index of a connected graph is defined as the sum of distances between all unordered pairs of its vertices. In this paper, we survey the known extremal results about the Wiener index of trees and the roots of the Wiener polynomials of trees from 2014 together with some open problems.

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The Wiener index of a connected graph is defined as the sum of distances between all unordered pairs of its vertices. In this paper, we survey the known extremal results about the Wiener index of trees and the roots of the Wiener polynomials of trees from 2014 together with some open problems.

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Available abstract

The Wiener index of a connected graph is defined as the sum of distances between all unordered pairs of its vertices. In this paper, we survey the known extremal results about the Wiener index of trees and the roots of the Wiener polynomials of trees from 2014 together with some open problems.

Key concepts: Wiener index, Mathematics, Index (typography), Combinatorics, Graph, Connectivity, Topological index, Tree (set theory)

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