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

Author

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  • Zehui Shao
  • Jin Xu
  • S. M. Sheikholeslami
  • Shaohui Wang

Abstract

Domination is a structural complexity of chemical molecular graphs. A dominating set in a (molecular) graph is a subset such that each vertex in is adjacent to at least one vertex in . The domination number of a graph is the minimum size of a dominating set in . 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.

Suggested Citation

  • Zehui Shao & Jin Xu & S. M. Sheikholeslami & Shaohui Wang, 2018. "The Domination Complexity and Related Extremal Values of Large 3D Torus," Complexity, Hindawi, vol. 2018, pages 1-8, July.
    • Handle: RePEc:hin:complx:3041426
    DOI: 10.1155/2018/3041426
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    Cited by:

    1. Ansheng Ye & Fang Miao & Zehui Shao & Jia-Bao Liu & Janez Žerovnik & Polona Repolusk, 2019. "More Results on the Domination Number of Cartesian Product of Two Directed Cycles," Mathematics, MDPI, vol. 7(2), pages 1-9, February.
    2. Huiqin Jiang & Pu Wu & Zehui Shao & Yongsheng Rao & Jia-Bao Liu, 2018. "The Double Roman Domination Numbers of Generalized Petersen Graphs P ( n , 2)," Mathematics, MDPI, vol. 6(10), pages 1-11, October.

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