The Domination Complexity and Related Extremal Values of Large 3D Torus

Domination is a structural complexity of chemical molecular graphs. A dominating set in a (molecular) graph G=V,E is a subset S⊆V such that each vertex in V\S is adjacent to at least one vertex in S. The domination number γG of a graph G is the minimum size of a dominating set in G. In this paper, c...

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Bibliographic Details
Main Authors: Zehui Shao, Jin Xu, S. M. Sheikholeslami, Shaohui Wang
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/3041426
Description
Summary:Domination is a structural complexity of chemical molecular graphs. A dominating set in a (molecular) graph G=V,E is a subset S⊆V such that each vertex in V\S is adjacent to at least one vertex in S. The domination number γG of a graph G is the minimum size of a dominating set in G. In this paper, computer-aided approaches for obtaining bounds for domination number on torus graphs are here considered, and many new exact values and bounds are obtained.
ISSN:1076-2787
1099-0526