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{\bf Tomasz Dzido, Andrzej Nowik and Piotr Szuca}
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{\bf New Lower Bound for Multicolor Ramsey Numbers for Even Cycles}
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For given finite family of graphs $G_{1}, G_{2}, \ldots , G_{k}, k
\geq 2$, the {\it multicolor Ramsey number} $R(G_{1}, G_{2}, \ldots ,
G_{k})$ is the smallest integer $n$ such that if we arbitrarily color
the edges of the complete graph on $n$ vertices with $k$ colors then
there is always a monochromatic copy of $G_{i}$ colored with $i$, for
some $1 \leq i \leq k$.  We give a lower bound for $k-$color Ramsey
number $R(C_{m}, C_{m}, \ldots , C_{m})$, where $m \geq 4$ is even and
$C_{m}$ is the cycle on $m$ vertices.

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