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ARSCOM
1998
104views more  ARSCOM 1998»
13 years 4 months ago
A Note on the Road-Coloring Conjecture
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...
STRINGOLOGY
2008
13 years 6 months ago
The Road Coloring and Cerny Conjecture
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...
Avraham Trahtman
DLT
2001
13 years 6 months ago
A Note on Synchronized Automata and Road Coloring Problem
Karel Culik II, Juhani Karhumäki, Jarkko Kari
JUCS
2002
123views more  JUCS 2002»
13 years 4 months ago
Synchronization and Stability of Finite Automata
: 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...
Jarkko Kari
DCC
2006
IEEE
14 years 4 months ago
Self-Reciprocal Irreducible Pentanomials Over F2
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 ...
Omran Ahmadi