Parallel Algorithms for Connected Domination Problem on Interval and Circular-arc Graphs

نویسندگان

  • F. R. Hsu
  • M. K. Shan
چکیده

A connected domination set of a graph is a set of vertices such that every vertex not in is adjacent to and the induced subgraph of is connected. The minimum connected domination set of a graph is the connected domination set with the minimum number of vertices. In this paper, we propose parallel algorithms for finding the minimum connected domination set of interval graphs and circular-arc graphs. Our algorithms run in time algorithm using processors while the intervals and arcs are given in sorted order. Our algorithms are on the EREW PRAM model. Key-Words: Connected Domination Set, Interval Graph, Circular-arc Graph.

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تاریخ انتشار 2002