Dependent Rounding in Bipartite Graphs

  • Authors:
  • Rajiv Gandhi;Samir Khuller;Srinivasan Parthasarathy;Aravind Srinivasan

  • Affiliations:
  • -;-;-;-

  • Venue:
  • FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
  • Year:
  • 2002

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Abstract

We combine the pipage rounding technique of Ageev & Sviridenko with a recent rounding method developed by Srinivasan, to develop a new randomized rounding approachfor fractional vectors defined on the edge-sets of bipartite graphs. We show various ways of combining this technique with other ideas, leading to the following applications:richer random-graph models for graphs with a given degree-sequence;improved approximation algorithms for: (i) throughput-maximization in broadcast scheduling, (ii) delay-minimization in broadcast scheduling, and (iii) capacitated vertex cover;fair scheduling of jobs on unrelated parallel machines.A useful feature of our method is that it lets us prove certain (probabilistic) per-user fairness properties.