We show how to compute O(√log n)-approximations to SPARSEST CUT and BALANCED SEPARATOR problems in Õ(n 2) time, thus improving upon the recent algorithm of Arora, Rao and Vazirani (2004). Their algorithm uses semidefinite programming and required Õ(n 4.5) time. Our algorithm relies on efficiently finding expander flows in the graph and does not solve semidefinite programs. The existence of expander flows was also established by Arora, Rao, and Vazirani.
|Original language||English (US)|
|Number of pages||10|
|Journal||Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS|
|State||Published - 2004|
|Event||Proceedings - 45th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2004 - Rome, Italy|
Duration: Oct 17 2004 → Oct 19 2004
All Science Journal Classification (ASJC) codes