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تسجيل مستخدم جديدA quadratic algorithm for road coloring
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نشر من قبل
Marie-Pierre B\\'eal
تاريخ النشر
2013
مجال البحث
الهندسة المعلوماتية
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English
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The Road Coloring Theorem states that every aperiodic directed graph with constant out-degree has a synchronized coloring. This theorem had been conjectured during many years as the Road Coloring Problem before being settled by A. Trahtman. Trahtmans proof leads to an algorithm that finds a synchronized labeling with a cubic worst-case time complexity. We show a variant of his construction with a worst-case complexity which is quadratic in time and linear in space. We also extend the Road Coloring Theorem to the periodic case.
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