Problem A. 553. (January 2012)
A. 553. Suppose that in a simple graph G with n vertices the minimal degree (G) is at least 3n/4. Prove that for any 2coloring of the edges of G, there is a connected subgraph with at least (G)+1 vertices whose edges have the same color.
(Schweitzercompetition, 2011)
(5 pont)
Deadline expired on February 10, 2012.
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