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ARSCOM
1998
104views more  ARSCOM 1998»
14 years 11 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
15 years 1 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
75
Voted
DLT
2001
15 years 1 months ago
A Note on Synchronized Automata and Road Coloring Problem
Karel Culik II, Juhani Karhumäki, Jarkko Kari
JUCS
2002
123views more  JUCS 2002»
14 years 11 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
81
Voted
DCC
2006
IEEE
15 years 11 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