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{\bf Shinya Fujita and Colton Magnant}
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{\bf Note on Highly Connected Monochromatic Subgraphs in $2$-Colored Complete Graphs}
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In this note, we improve upon some recent results concerning the
existence of large monochromatic, highly connected subgraphs in a
$2$-coloring of a complete graph.  In particular, we show that if 
\hbox{$n\ge 6.5(k - 1)$}, then in any $2$-coloring of the edges of $K_{n}$,
there exists a monochromatic $k$-connected subgraph of order at least
$n - 2(k - 1)$.  Our result improves upon several recent results by a
variety of authors.



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