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Operations Research Transactions >

2023 , Vol. 27 >Issue 3: 178 - 184

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2023.03.015

Extremal problems for Steiner Wiener index of unicyclic graphs

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  • 1. Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
    2. Pingyin Experimental School, Jinan 250400, Shandong, China

Received date: 2019-09-18

  Online published: 2023-09-14

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Abstract

Wiener index is an important chemical index in chemical graph theory, defined as the sum of distances between all pairs of vertices. A generalization of the Wiener index, called the Steiner Wiener index, takes the sum of the Steiner distances over all sets S of cardinality k. The Steiner distance of vertices in a set S is the minimum size of a connected subgraph that contain these vertices. We consider the extremal problems with respect to the Steiner Wiener index among all unicyclic graphs.

Key words： Steiner Wiener index; Steiner distance; unicyclic graphs; Wiener index

Cite this article

Jie ZHANG, Yan JI . Extremal problems for Steiner Wiener index of unicyclic graphs[J]. Operations Research Transactions, 2023 , 27(3) : 178 -184 . DOI: 10.15960/j.cnki.issn.1007-6093.2023.03.015

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