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2019•Iranian journal of mathemathical chemistry./Iranian journal of mathemathical chemistryRequires access

Trees with the Greatest Wiener and Edge-Wiener Index

Ali Ghalavand

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Abstract

The Wiener index W and the edge-Wiener index W_e of G are defined as the sum of distances between all pairs of vertices in G and the sum of distances between all pairs of edges in G, respectively. In this paper, we identify the four trees, with the first through fourth greatest Wiener and edge-Wiener index among all trees of order n ≥ 10.

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What this paper is about

The Wiener index W and the edge-Wiener index W_e of G are defined as the sum of distances between all pairs of vertices in G and the sum of distances between all pairs of edges in G, respectively. In this paper, we identify the four trees, with the first through fourth greatest Wiener and edge-Wiener index among all trees of order n ≥ 10.

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Available abstract

The Wiener index W and the edge-Wiener index W_e of G are defined as the sum of distances between all pairs of vertices in G and the sum of distances between all pairs of edges in G, respectively. In this paper, we identify the four trees, with the first through fourth greatest Wiener and edge-Wiener index among all trees of order n ≥ 10.

Key concepts: Wiener index, Mathematics, Index (typography), Combinatorics, Enhanced Data Rates for GSM Evolution, Topological index, Graph, Computer science

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