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The Road Coloring for Mapping on k States(withdrawn) (0812.4798v2)
Published 28 Dec 2008 in cs.DM
Abstract: Let $\Gamma$ be directed strongly connected finite graph of uniform outdegree (constant outdegree of any vertex) and let some coloring of edges of $\Gamma$ turn the graph into deterministic complete automaton. Let the word $s$ be a word in the alphabet of colors (considered also as letters) on the edges of $\Gamma$ and let $\Gamma s$ be a mapping of vertices $\Gamma$.