Title
Simple Local Computation Algorithms for the General Lovasz Local Lemma
Abstract
We consider the task of designing Local Computation Algorithms (LCA) for applications of the Lovasz Local Lemma (LLL). LCA is a class of sublinear algorithms proposed by Rubinfeld et al. that have received a lot of attention in recent years. The LLL is an existential, sufficient condition for a collection of sets to have non-empty intersection (in applications, often, each set comprises all objects having a certain property). The ground-breaking algorithm of Moser and Tardos made the LLL fully constructive, following earlier results by Beck and Alon giving algorithms under significantly stronger LLL-like conditions. LCAs under those stronger conditions were given in Rubinfeld et al., where it was asked if the Moser-Tardos algorithm can be used to design LCAs under the standard LLL condition. The main contribution of this paper is to answer this question affirmatively. In fact, our techniques yield LCAs for settings beyond the standard LLL condition.
Year
DOI
Venue
2020
10.1145/3350755.3400250
SPAA '20: 32nd ACM Symposium on Parallelism in Algorithms and Architectures Virtual Event USA July, 2020
DocType
ISBN
Citations 
Conference
978-1-4503-6935-0
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Dimitris Achlioptas12037174.89
Themis Gouleakis2317.16
Fotis Iliopoulos3135.28