Some results relating to the road-coloring conjecture of Alder, Goodwyn, and Weiss, which give rise to an O(n2) algorithm to determine whether or not a given edge-coloring of a gra...
E. Gocka, Walter W. Kirchherr, Edward F. Schmeiche...
A synchronizing word of a deterministic automaton is a word in the alphabet of colors (considered as letters) of its edges that maps the automaton to a single state. A coloring of...
: Let G = (V, E) be a strongly connected and aperiodic directed graph of uniform out-degree k. A deterministic finite automaton is obtained if the edges are colored with k colors i...
Joseph Yucas and Gary Mullen conjectured that there is no self-reciprocal irreducible pentanomial of degree n over F2 if n is divisible by 6. In this note we prove this conjecture ...