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Tur\'an numbers of cycles plus a general graph

math.CO · 2024-11-26 · conditional · novelty 6.0

The Turan number ex(n,{C>=k,F}) is determined up to an additive constant for every 2-connected F with p(F) at least floor((k-1)/2)+1; the even-k formula is n times the larger of (k-2)/2 and ex(k-1,F)/(k-2), plus O_k(1).

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  • Tur\'an numbers of cycles plus a general graph math.CO · 2024-11-26 · conditional · none · ref 8

    The Turan number ex(n,{C>=k,F}) is determined up to an additive constant for every 2-connected F with p(F) at least floor((k-1)/2)+1; the even-k formula is n times the larger of (k-2)/2 and ex(k-1,F)/(k-2), plus O_k(1).