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The Road Coloring Problem, or Road Coloring Conjecture, is a mathematical problem associated with the field of Graph Theory. It posits that, given a finite number of routes to a destination, a set of directions can be given that will lead to that destination from any given starting point. For instance, if following blue and red color-coded lines on a two-dimensional graphed shape, a path to a destination point from any starting point can always be given in the form of a sometimes long and inefficient, but ultimately correct, combination of 'blue' and 'red' instructions. Many mathematicians have attempted to prove this conjecture since it was first posed in 1970.
Israeli mathematician Avraham Trahtman proved the mathematical riddle in 2007.The Jerusalem Post: Russian immigrant solves math puzzle (February 8, 2008)
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The Mahalo Top 7
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IBM Research: Ponder This-- July 2003 challenges, The Road Coloring Problem
The July 2003 challenges web page.domino.research.ibm.com -
Tech-musings: A 'Road Coloring' Problem
TECH-MUSINGS: A 'Road Coloring' Problemnandacumar.blogspot.com (April 13, 2006) -
Clusterflock: The Road Coloring Problem Is Solved after 38 Years
clusterflock.org (March 20, 2008) -
Wikipedia: Road Coloring Problem
Road coloring problem - Wikipedia, the free encyclopediaen.wikipedia.org -
Avraham Trahtman: The Road Coloring Problem (64KB)
arxiv.org -
International Herald Tribune: Israeli Immigrant Mathematician Solves Math Riddle...
iht.com (March 21, 2008) -
Deccan Herald: Israeli Immigrant Mathematician Solves Math Riddle
deccanherald.com (March 21, 2008)
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IBM Research: Ponder This-- July 2003 challenges, The Road Coloring Problem
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