TY - JOUR
T1 - An alternate proof of the algorithmic Lovász local lemma
AU - Giotis, Ioannis
AU - Kirousis, Lefteris
AU - Psaromiligkos, Kostas I.
AU - Thilikos, Dimitrios M.
N1 - Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
N2 - The algorithm for Lovász Local Lemma by Moser and Tardos gives a constructive way to prove the existence of combinatorial objects satisfying a system of constraints. We present an alternative probabilistic analysis of the algorithm that does not involve reconstructing the history of the algorithm. We apply our technique to improve the best known upper bound to acyclic chromatic index.
AB - The algorithm for Lovász Local Lemma by Moser and Tardos gives a constructive way to prove the existence of combinatorial objects satisfying a system of constraints. We present an alternative probabilistic analysis of the algorithm that does not involve reconstructing the history of the algorithm. We apply our technique to improve the best known upper bound to acyclic chromatic index.
UR - http://www.scopus.com/inward/record.url?scp=85014119333&partnerID=8YFLogxK
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U2 - 10.1007/978-3-319-51753-7_10
DO - 10.1007/978-3-319-51753-7_10
M3 - Article
AN - SCOPUS:85014119333
SN - 2297-0215
VL - 6
SP - 61
EP - 65
JO - Trends in Mathematics
JF - Trends in Mathematics
ER -