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For two given graphs F and H, the Ramsey number R(F, H) is the smallest integer N such that for any graph G of order N, either G contains F or the complemen
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For two given graphs F and H, the Ramsey number R(F, H) is the smallest integer N such that for any graph G of order N, either G contains F or the complement of G contains H.Let Fl denote a fan of order 2l + 1, which is l triangles sharing exactly one vertex, and Kn a complete graph of order n.Surahmat et al.conjectured that R(Fl, Kn) =8l + 1 for l ≥ n ≥ 5.In this paper, we show that the conjecture is true for n=5.
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