• Title of article

    The topological ordering of covering nodes

  • Author/Authors

    Shirdel, G.H Department of Mathematics - Faculty of Basic Sciences - University of Qom, Qom, I.R. Iran , Kahkeshani, N Department of Mathematics - Faculty of Basic Sciences - University of Qom, Qom, I.R. Iran

  • Pages
    6
  • From page
    55
  • To page
    60
  • Abstract
    The topological ordering algorithm sorts nodes of a directed graph such that the order of the tail of each arc is lower than the order of its head. In this paper, we introduce the notion of covering between nodes of a directed graph. Then, we apply the topological ordering algorithm on graphs containing the covering nodes. We show that there exists a cut set with forward arcs in these graphs and the order of the covering nodes is successive.
  • Keywords
    topological ordering algorithm , covering nodes , Directed graph
  • Journal title
    Communications in Combinatorics and Optimization
  • Serial Year
    2020
  • Record number

    2703564