The critical bias for the Hamiltonicity game is (1+o(1))n/ln n

Details The critical bias for the Hamiltonicity game is (1+o(1))n/ln n The critical bias for the Hamiltonicity game is (1+o(1))n/ln n

2009-09-15

arxiv.org/abs/0909.2744v3

Mathematics

Combinatorics

9 pages

Scientific paper

We prove that in the biased 1:b Hamiltonicity Maker-Breaker game, played on
the edges of the complete graph K_n, Maker has a winning strategy for
b(n)<=(1-o(1))n/ln n, for all large enough n.

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