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| Content Provider | ACM Digital Library |
|---|---|
| Author | Nagle, Brendan Schacht, Mathias Rödl, Vojtěch |
| Abstract | Szemerédi's Regularity Lemma [22, 23] is a powerful tool in graph theory. It asserts that all large graphs G admit a bounded partition of E(G), most classes of which are bipartite subgraphs with uniformly distributed edges. The original proof of this result was non-constructive. A constructive proof was given by Alon, Duke, Lefmann, Rödl and Yuster [1], which allows one to efficiently construct a regular partition for any large graph. Szemerédi's Regularity Lemma was extended to hypergraphs by various authors. Frankl and Rödl [3] gave one such extension to 3-uniform hypergraphs, and Rödl and Skokan [19] extended this result to k-uniform hypergraphs. W. T. Gowers [4, 5] gave another such extension. Similarly to the graph case, all of these proofs are non-constructive. We present an efficient algorithmic version of the Hypergraph Regularity Lemma for k-uniform hypergraphs. |
| Starting Page | 1765 |
| Ending Page | 1773 |
| Page Count | 9 |
| File Format | |
| ISBN | 9781611974331 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2016-01-10 |
| Access Restriction | Subscribed |
| Content Type | Text |
| Resource Type | Article |
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