Applications of the lopsided Lovász local lemma regarding hypergraphs

A Mohr - 2013 - search.proquest.com
The Lovász local lemma is a powerful and well-studied probabilistic technique useful in
establishing the possibility of simultaneously avoiding every event in some collection. A …

Quest for negative dependency graphs

L Lu, A Mohr, L Székely - Recent Advances in Harmonic Analysis and …, 2013 - Springer
The Lovász local lemma is a well-known probabilistic technique commonly used to prove
the existence of rare combinatorial objects. We explore the lopsided (or negative …

A Meeting Point of Probability, Graphs, and Algorithms: The Lovász Local Lemma and Related Results—A Survey

A Faragó - Algorithms, 2021 - mdpi.com
A classic and fundamental result, known as the Lovász Local Lemma, is a gem in the
probabilistic method of combinatorics. At a high level, its core message can be described by …

[HTML][HTML] Rainbow Hamilton cycles and lopsidependency

N Harvey, C Liaw - Discrete Mathematics, 2017 - Elsevier
Abstract The Lovász Local Lemma is a powerful probabilistic tool used to prove the
existence of combinatorial structures which avoid a set of constraints. A standard way to …

Revisit the Lovász local lemma

J Chen - Journal of Theoretical Probability, 1997 - Springer
Revisit the Lovász Local Lemma Page 1 Journal of Theoretical Probability. Vol. 10, No.
3, 1997 Revisit the Lovasz Local Lemma Jeesen Chen1 Received December 8, 1995; revised …

Deterministic algorithms for the Lovász local lemma

K Chandrasekaran, N Goyal, B Haeupler - SIAM Journal on Computing, 2013 - SIAM
The Lovász local lemma (LLL) P. Erdös and L. Lovász, Problems and results on 3-
chromatic hypergraphs and some related questions, in Infinite and Finite Sets, Vol. II, A …

[PDF][PDF] Using Lovász Local Lemma in the space of random injections

L Lu, L Székely - the electronic journal of combinatorics, 2007 - emis.de
Abstract The Lovász Local Lemma is known to have an extension for cases where
independence is missing but negative dependencies are under control. We show that this is …

An algorithmic proof of the Lovász local lemma via resampling oracles

NJA Harvey, J Vondrák - 2015 IEEE 56th Annual Symposium …, 2015 - ieeexplore.ieee.org
The Lovasz Local Lemma is a seminal result in probabilistic combinatorics. It gives a
sufficient condition on a probability space and a collection of events for the existence of an …

Directed Lovász local lemma and Shearer's lemma

L Kirousis, J Livieratos, KI Psaromiligkos - Annals of Mathematics and …, 2020 - Springer
Abstract Moser and Tardos (J. ACM (JACM) 57 (2), 11 2010) gave an algorithmic proof of the
lopsided Lovász local lemma (LLL) in the variable framework, where each of the …

New bounds for the Moser-Tardos distribution

DG Harris - arXiv preprint arXiv:1610.09653, 2016 - arxiv.org
The Lovasz Local Lemma (LLL) is a probabilistic tool which has been used to show the
existence of a variety of combinatorial structures with good" local" properties. The" LLL …