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    Item type:Publication,
    Lower bounds of some small bipartite ramsey numbers br(K 2,2 ;k nn, )
    (2017-07-01)
    Adsawatithisakul, Nitiphoom
    ;
    Summart, Waraporn
    ;
    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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    Item type:Publication,
    Determinant of adjacency matrix of square cycle graph
    (2014-02-28)
    Adsawatithisakul, Nitiphoom
    ;
    Square Cycle, C<sup>2</sup>n is a graph that has n vertices and two vertices u and v are adjacent if and only if distance between u and v not greater than 2. In this paper, we show that the determinant of adjacency matrix of square cycle C<sup>2</sup>n are as follows [equation Presented]. ©2014 Academic Publications, Ltd.