Zarankiewiczʼs Conjecture is finite for each fixed m

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Zarankiewicz's Conjecture is finite for each fixed m

Zarankiewicz's Crossing Number Conjecture states that the crossing number cr(Km,n) of the complete bipartite graph Km,n equals Z(m, n) := m/2 (m − 1)/2n/2(n − 1)/2, for all positive integers m, n. This conjecture has only been verified for min{m, We determine, for each positive integer m, an integer N 0 = N 0 (m) with the following property: if cr(Km,n) = Z(m, n) for all n ≤ N 0 , then cr(Km,n)...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2013

ISSN: 0095-8956

DOI: 10.1016/j.jctb.2012.11.001