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The domination over time and its discretisation

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  • Nazanin Abbasnezhad
  • Javad Mehri-Takmeh
  • Javad Vakili

Abstract

Domination in graphs is well known and has been an extensively researched branch of graph theory. Since the variation over time is one of the important properties of real-world networks, we study the influence of time on the domination problem. In this paper, we introduce the domination over time problem, including time delay on arcs. Then, an optimal solution to its discretisation is obtained, which is the solution of the original problem.

Suggested Citation

  • Nazanin Abbasnezhad & Javad Mehri-Takmeh & Javad Vakili, 2020. "The domination over time and its discretisation," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(1), pages 5-24.
    • Handle: RePEc:wut:journl:v:1:y:2020:p:5-24:id:1463
    DOI: 10.37190/ord200101
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    References listed on IDEAS

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