Optimum Broadcasting in Complete Weighted-Vertex Graphs

  • Authors:
  • Hovhannes Harutyunyan;Shahin Kamali

  • Affiliations:
  • Department of Computer Science and Software Engineering, Concordia University, Montreal, Canada H3G 1M8;David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada N2L 3G1

  • Venue:
  • SOFSEM '10 Proceedings of the 36th Conference on Current Trends in Theory and Practice of Computer Science
  • Year:
  • 2009

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Abstract

The weighted-vertex broadcast model is an extension of the original model of broadcasting to the graphs with weighted vertices. A vertex of weight 驴 is supposed to wait for 驴 time rounds before sending data to its neighbors; after this delay, in each round, it can inform one of its neighbors with no additional delay. We consider the problem in complete weighted-vertex graphs, and introduce a set of properties which describe a class of optimum solutions. Based on these, we present an algorithm which gives optimum broadcast schemes in polynomial time.