Samana, Decha

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Samana, Decha
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Samana, D.
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decha.sa@kmitl.ac.th

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    An Improved Lower Bound for Bipartite Ramsey Numbers br(2,7) and br(2,8)
    (2017-01-01)
    Samana, Decha
    ;
    Intarapaiboon, Peerasak
    For complete bipartite graphs Ks,s,Kt,t, the bipartite Ramsey number br(s,t) is the least positive integer b such that if the edges of K<inf>b,b</inf> are colored with red and blue, then there always exists a red Ks,s or a blue Kt,t. We obtain new lower bounds of br(2,7) and br(2,8).
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    Lower bounds of some small bipartite ramsey numbers br(K 2,2 ;k nn, )
    (2017-07-01)
    Adsawatithisakul, Nitiphoom
    ;
    Summart, Waraporn
    ;
    Samana, Decha
    For bipartite graphs G <inf>1</inf> , G <inf>2</inf> , the bipartite Ramsey number br(G <inf>1</inf> ,G <inf>2</inf> ) is the smallest integer b such that any subgraph G of the complete bipartite graph K <inf>bb,</inf> , either G contains a copy of G <inf>1</inf> or its complement relative to K <inf>bb,</inf> contains a copy of G <inf>2</inf> . We obtained lower bounds of br(K <inf>2,2</inf> ;K <inf>nn,</inf> ) for 6≤ n ≤10.
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    Lower bounds of multicolor bipartite Ramsey numbers br(K p,q;m)
    (2012-10-16)
    Samana, Decha
    The multicolor bipartite Ramsey number br(K <sup>p,q</sup> ;m) is the smallest positive n such that any coloring of the edges of K <sup>n,n</sup> with m-coloring, there are a monochromatic subgraph isomorphic to K <sup>p,q</sup>. In this paper, we show that br(K <sup>p,q</sup>;m) > (p!q!m <sup>p,q-1</sup>) <sup>1/p+q</sup>.