The Turán Number for the Hexagon
نویسندگان
چکیده
It is shown that the maximal number of edges in an n-vertex graph containing no cycle of length six has order of magnitude 12n 4/3.
منابع مشابه
On the Turán Number for the Hexagon
A long-standing conjecture in combinatorics, made by Erdős and Simonovits, is that the maximum number of edges in an n-vertex graph without a hexagon is asymptotically 1 2n 4/3 as n→∞. This conjecture corresponds to the asymptotic optimality of constructions of generalized quadrangles as a source of dense hexagon-free graphs. In this paper, we construct a counterexample to this conjecture. For ...
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