Computing hypergraph Ramsey numbers by using quantum circuit
نویسندگان
چکیده
منابع مشابه
Hypergraph Ramsey numbers
The Ramsey number rk(s, n) is the minimum N such that every red-blue coloring of the k-tuples of an N -element set contains either a red set of size s or a blue set of size n, where a set is called red (blue) if all k-tuples from this set are red (blue). In this paper we obtain new estimates for several basic hypergraph Ramsey problems. We give a new upper bound for rk(s, n) for k ≥ 3 and s fix...
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For s ≥ 4, the 3-uniform tight cycle C s has vertex set corresponding to s distinct points on a circle and edge set given by the s cyclic intervals of three consecutive points. For fixed s ≥ 4 and s 6≡ 0 (mod 3) we prove that there are positive constants a and b with 2 < r(C s ,K 3 t ) < 2 bt log . The lower bound is obtained via a probabilistic construction. The upper bound for s > 5 is proved...
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ژورنال
عنوان ژورنال: Quantum Information Processing
سال: 2013
ISSN: 1570-0755,1573-1332
DOI: 10.1007/s11128-013-0541-9