We relate the problem of finding structures related to perfect matchings in bipartite graphs to a stochastic process similar to throwing balls into bins. We view each node on the left of a bipartite graph as having balls that it can throw into nodes on the right (bins) to which it is adjacent. We show that several simple algorithms based on throwing balls into bins deliver a near-perfect fractional matching, where a perfect fractional matching is a weighted subgraph on all nodes with nonnegative weights on edges so that the total weight incident at each node is 1. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Motwani, R., Panigrahy, R., & Xu, Y. (2006). Fractional matching via balls-and-bins. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4110 LNCS, pp. 487–498). Springer Verlag. https://doi.org/10.1007/11830924_44
Mendeley helps you to discover research relevant for your work.