Planar Ramsey numbers for cycles |
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| Authors: | Izolda Gorgol |
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| Institution: | a Department of Applied Mathematics, Technical University of Lublin, ul. Nadbystrzycka 38, 20-618 Lublin, Poland
b Department of Discrete Mathematics, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland |
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| Abstract: | 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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| Keywords: | 05D10 05C55 |
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