Interchanging distance and capacity in probabilistic mappings Export

@article{citeulike:6074212, abstract = {Harald Racke [STOC 2008] described a new method to obtain hierarchical decompositions of networks in a way that minimizes the congestion. Racke's approach is based on an equivalence that he discovered between minimizing congestion and minimizing stretch (in a certain setting). Here we present Racke's equivalence in an abstract setting that is more general than the one described in Racke's work, and clarifies the power of Racke's result. In addition, we present a related (but different) equivalence that was developed by Yuval Emek [ESA 2009] and is only known to apply to planar graphs.}, archivePrefix = {arXiv}, author = {Andersen, Reid and Feige, Uriel}, citeulike-article-id = {6074212}, citeulike-linkout-0 = {http://arxiv.org/abs/0907.3631}, citeulike-linkout-1 = {http://arxiv.org/pdf/0907.3631}, day = {21}, eprint = {0907.3631}, keywords = {network\_design, oblivious}, month = {Jul}, posted-at = {2009-11-05 13:19:39}, priority = {4}, title = {Interchanging distance and capacity in probabilistic mappings}, url = {http://arxiv.org/abs/0907.3631}, year = {2009} }

TY - JOUR ID - citeulike:6074212 L3 - citeulike-article-id:6074212 N2 - Harald Racke [STOC 2008] described a new method to obtain hierarchical decompositions of networks in a way that minimizes the congestion. Racke's approach is based on an equivalence that he discovered between minimizing congestion and minimizing stretch (in a certain setting). Here we present Racke's equivalence in an abstract setting that is more general than the one described in Racke's work, and clarifies the power of Racke's result. In addition, we present a related (but different) equivalence that was developed by Yuval Emek [ESA 2009] and is only known to apply to planar graphs. TI - Interchanging distance and capacity in probabilistic mappings KW - network_design KW - oblivious AU - Andersen, Reid AU - Feige, Uriel PY - 2009/Jul/21/ UR - http://arxiv.org/abs/0907.3631 ER -