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COMPGEOM
2009
ACM
13 years 11 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
MP
2006
88views more  MP 2006»
13 years 4 months ago
Two-edge connected subgraphs with bounded rings: Polyhedral results and Branch-and-Cut
Abstract. We consider the network design problem which consists in determining at minimum cost a 2-edge connected network such that the shortest cycle (a "ring") to which...
Bernard Fortz, Ali Ridha Mahjoub, S. Thomas McCorm...