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pro vyhledávání: '"Zimin, Aleksandr"'
We give an explicit counterexample to the Bunkbed Conjecture introduced by Kasteleyn in 1985. The counterexample is given by a planar graph on $7222$ vertices, and is built on the recent work of Hollom (2024).
Comment: 12 pages, 2 figures
Comment: 12 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2410.02545
Autor:
Gladkov, Nikita, Zimin, Aleksandr
We show that a site percolation is a stronger model than a bond percolation. We use the van den Berg -- Kesten (vdBK) inequality to prove that site percolation on a neighborhood of a vertex of degree $3$ cannot be simulated even approximately by bond
Externí odkaz:
http://arxiv.org/abs/2404.08873
Publikováno v:
Russian Studies in History. Summer2008, Vol. 47 Issue 1, p6-13. 8p.
Autor:
Zimin, Aleksandr
Publikováno v:
Σημειωτκή - Sign Systems Studies. 5(1):464-468
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=819309