Borel Local Lemma: arbitrary random variables and limited exponential growth
A Bernshteyn, J Yu - arXiv preprint arXiv:2412.11571, 2024 - arxiv.org
The Lov\'asz Local Lemma (the LLL for short) is a powerful tool in probabilistic combinatorics
that is used to verify the existence of combinatorial objects with desirable properties. Recent …
that is used to verify the existence of combinatorial objects with desirable properties. Recent …
Computing Non-Repetitive Sequences with a Computable Lefthanded Local Lemma
D Mourad - arXiv preprint arXiv:2406.10564, 2024 - arxiv.org
The lefthanded Lov\'asz local lemma (LLLL) is a generalization of the Lov\'asz local lemma
(LLL), powerful technique from the probabilistic method. We prove a computable version of …
(LLL), powerful technique from the probabilistic method. We prove a computable version of …
Algorithms for Promise Coloring Problems on Tournaments and Graphs
F Klingelhoefer - 2023 - theses.hal.science
The first part of this thesis is on the subject of coloring tournaments, from analgorithmic,
complexity and structural perspective. A k-coloring of a directed graph, and in particular a …
complexity and structural perspective. A k-coloring of a directed graph, and in particular a …
[PDF][PDF] Computability Theory: Constructive Applications of the Lefthanded Local Lemma and Characterizations of Some Classes of Cohesive Powers.
D Mourad - Bull. Symb. Log., 2023 - daniel-mourad.scholar.uconn.edu
The Lovász local lemma (LLL) is a technique from combinatorics for proving existential
results. There are many different versions of the LLL. One of them, the lefthanded local …
results. There are many different versions of the LLL. One of them, the lefthanded local …
Comparison of two convergence criteria for the variable-assignment Lopsided Lovász Local Lemma
DG Harris - arXiv preprint arXiv:1610.01926, 2016 - arxiv.org
The Lopsided Lovasz Local Lemma (LLLL) is a cornerstone probabilistic tool for showing
that it is possible to avoid a collection of" bad" events as long as their probabilities and …
that it is possible to avoid a collection of" bad" events as long as their probabilities and …