SOME CUBIC TIME REGULARITY ALGORITHMS FOR TRIPLE SYSTEMS

被引:0
|
作者
Nagle, Brendan [1 ]
Theado, John [1 ]
机构
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
关键词
hypergraphs; regularity; algorithms; HYPERGRAPH REGULARITY; LEMMA; VERSION; BOUNDS;
D O I
10.1137/21M145046X1001781DMS1700280
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Szemeredi's regularity lemma guarantees that, for fixed epsilon > 0, every graph G = (V, E) admits an epsilon -regular and t -equitable partition pi (G), where t = O(1). These partitions are constructed by Kohayakawa, Rodl, and Thoma in time O(IVI2). Analogous partitions of k -graphs pi(k) are constructed by Czygrinow and Rodl in time O(IVI2k (- 1)log(5)IVI). For k = 3, we construct these partitions (and others with slightly stronger regularity) in time O(IVI3). We also discuss some applications.
引用
收藏
页码:668 / 701
页数:34
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