Dependent rounding in bipartite graphs

TitleDependent rounding in bipartite graphs
Publication TypeConference Papers
Year of Publication2002
AuthorsGandhi R, Khuller S, Parthasarathy S, Srinivasan A
Conference NameThe 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings
Date Published2002///
ISBN Number0-7695-1822-2
KeywordsApplication software, Approximation algorithms, bipartite graph, bipartite graphs, broadcast channels, broadcast scheduling, Broadcasting, capacitated vertex cover, Character generation, computational complexity, Computer science, Delay, edge-sets, Educational institutions, fair scheduling, fractional vectors, graph theory, per-user fairness properties, pipage rounding technique, Processor scheduling, Random variables, random-graph models, randomized rounding approach, rounding method, scheduling, Scheduling algorithm, telecommunication computing, unrelated parallel machines

We combine the pipage rounding technique of Ageev & Sviridenko with a recent rounding method developed by Srinivasan (2001), to develop a new randomized rounding approach for 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.