Abstract
For given graphs G and H, the Ramsey number R(G, H) is the smallest positive integer N such that for every graph F of order N the following holds: either F contains G as a subgraph or the complement of F contains H as a subgraph. In this paper, we determine the Ramsey number R(C n , W m ) = 3n − 2 for odd m ≥ 5 and \(n > \frac{5m-9}{2}\).
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Surahmat, Ioan Tomescu: Part of the work was done while the first and the last authors were visiting the School of Mathematical Sciences, Government College University, Lahore, Pakistan.
Surahmat: Research partially support under TWAS, Trieste, Italy, RGA No: 06-018 RG/MATHS/AS–UNESCO FR: 3240144875.
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Surahmat, Baskoro, E.T. & Tomescu, I. The Ramsey Numbers of Large cycles Versus Odd Wheels. Graphs and Combinatorics 24, 53–58 (2008). https://doi.org/10.1007/s00373-007-0764-6
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DOI: https://doi.org/10.1007/s00373-007-0764-6