A Note on a Conjecture of Duval and Sturmian Words
Filippo Mignosi, Luca Q. Zamboni (2010)
RAIRO - Theoretical Informatics and Applications
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We prove a long standing conjecture of Duval in the special case of Sturmian words.
Displaying similar documents to “Dejean's conjecture holds for N ≥ 27”
A Note on a Conjecture of Duval and Sturmian Words
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Jean-Paul Allouche, Mireille Bousquet-Mélou (1995)
Commentationes Mathematicae Universitatis Carolinae
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We show a connection between a recent conjecture of Shallit and an older conjecture of Rauzy for infinite words on a finite alphabet. More precisely we show that a Rauzy-like conjecture is equivalent to Shallit's. In passing we correct a misprint in Rauzy's conjecture.
A proof of a conjecture of Knuth.
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Yokoi's conjecture
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G. Besson (2009)
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K. Kubota (1977)
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An update on a few permanent conjectures
Fuzhen Zhang (2016)
Special Matrices
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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...