Planar Ramsey numbers for cycles

نویسندگان

Izolda Gorgol

Andrzej Rucinski

چکیده

For two given graphs G and H the planar Ramsey number PR(G,H) is the smallest integer n such that every planar graph F on n vertices either contains a copy of G or its complement contains a copy H . By studying the existence of subhamiltonian cycles in complements of sparse graphs, we determine all planar Ramsey numbers for pairs of cycles.

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