Minimum Connected Dominating Sets of Random Cubic Graphs

  title={Minimum Connected Dominating Sets of Random Cubic Graphs},
  author={William Duckworth},
  journal={Electr. J. Comb.},
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm, is analysed on random n-vertex cubic graphs using differential equations. In this way, we prove that the expected size of the connected dominating set returned by the algorithm is asymptotically almost surely less than 0.5854n. 

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Publications referenced by this paper.

Wormald . Linear Programming and the Worst - Case Analysis of Greedy Algorithms on Cubic Graphs

  • C. N.
  • Submitted . the electronic journal of…
  • 2001

Random Graphs

  • S. Janson, T. Luczak, A. Rucinski
  • Wiley
  • 2000
1 Excerpt

Wormald . The Differential Equation Method for Random Graph Processes and Greedy Algorithms

  • C. N.
  • 1999

Wormald , Differential Equations for Random Processes and Random Graphs

  • C. N.
  • Annals of Applied Probability
  • 1998

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