Some remarks on the Zarankiewicz problem
نویسندگان
چکیده
Abstract The Zarankiewicz problem asks for an estimate on z ( m , n ; s t ), the largest number of 1’s in × matrix with all entries 0 or 1 containing no submatrix consisting entirely 1’s. We show that a classical upper bound ) due to Kővári, Sós and Turán is tight up constant broad range parameters. proof relies new quantitative variant random algebraic method.
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society
سال: 2021
ISSN: ['0305-0041', '1469-8064']
DOI: https://doi.org/10.1017/s0305004121000475