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Extending Dekking's construction of an infinite binary word ...
arXiv
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arXiv
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由 J Currie 著作2021被引用 1 次 — We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine if certain types of ...
Extending Dekking's Construction of an Infinite Binary ...
SIAM Publications Library
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SIAM Publications Library
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由 J Currie 著作2024被引用 1 次 — We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine whether certain types ...
Extending Dekking's construction of an infinite binary word ...
arXiv
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arXiv
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由 J Currie 著作2021被引用 1 次 — Dekking [5] showed that there is an infinite ternary word that avoids abelian cubes and an infinite binary word that avoids abelian 4-powers.
Extending Dekking's construction of an infinite binary word ...
ResearchGate
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2024年9月10日 — We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine if ...
Extending Dekking's Construction of an Infinite Binary Word ...
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... infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our proof involves a method for proving the avoidance of a variation on abelian.
Extending Dekking's Construction of an Infinite Binary ...
ResearchGate
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2024年11月29日 — We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine if ...
[PDF] Extending Dekking's construction of an infinite binary word ...
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The method gives an algorithm to determine if certain types of morphic sequences avoid additive powers, and it is shown that there are Ω(1.172) binary words ...
A305003
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... Extending Dekking's construction of an infinite binary word avoiding abelian 4-powers</a>. Proves that the number of such words of length n is Omega(1.172^n).
lgmol/Additive-Powers-Decision-Algorithm
GitHub
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This is an implementation of an algorithm which decides whether or not certain infinite words generated by morphisms are additive k-power-free.
Selected works of Jeffrey O. Shallit
University of Waterloo
https://cs.uwaterloo.ca › ~shallit › papers
University of Waterloo
https://cs.uwaterloo.ca › ~shallit › papers
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Shallit, Extending Dekking's construction of an infinite binary word avoiding abelian 4-powers, Arxiv preprint arXiv:2111.07857 [math.CO], November 15 2021.