Sep 15, 2017 · Abstract:A tight criterion under which the abstract version Lovász Local Lemma (abstract-LLL) holds was given by Shearer decades ago.

We introduce a necessary and sufficient criterion for variable-LLL, in terms of the probabilities of the events and the event- variable graph specifying the ...

A necessary and sufficient criterion for variable-LLL is introduced, in terms of the probabilities of the events and the event-variable graph specifying the ...

Sep 15, 2017 · We introduce a necessary and sufficient criterion for variable-LLL, in terms of the probabilities of the events and the event-variable graph.

Equipped with this powerful theorem, we show that there is no gap if the base graph of the event-variable graph is a tree, while gap appears if the base graph ...

Variable-version Lovász Local Lemma: Beyond Shearer's Bound. Mendeley · CSV · RIS · BibTeX ; Date. 2017 ; Type. Conference Paper ; Publication status. published.

PDF | On Oct 1, 2017, Kun He and others published Variable-Version Lovász Local Lemma: Beyond Shearer's Bound | Find, read and cite all the research you ...

Variable-Version Lovász Local Lemma: Beyond Shearer's Bound. https://doi.org/10.1109/focs.2017.48 · Full text. Journal: 2017 IEEE 58th Annual Symposium on ...

Kun He, Liang Li, Xingwu Liu, Yuyi Wang, Mingji Xia: Variable-Version Lovász Local Lemma: Beyond Shearer's Bound. FOCS 2017: 451-462. manage site settings.

Dec 2, 2019 · In this work, we strengthen this notion, defining a novel directed notion of dependency and prove the LLL for the corresponding graph.