A bridge with a hexagonal framework
Hugo Steinhaus (1962)
Applicationes Mathematicae
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Hugo Steinhaus (1962)
Applicationes Mathematicae
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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Yasutaka Nakanishi (1996)
Revista Matemática de la Universidad Complutense de Madrid
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This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.
Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Ying-Qing Wu (1993)
Mathematische Annalen
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Isabel Darcy, De Sumners (1998)
Banach Center Publications
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The following is an expository article meant to give a simplified introduction to applications of topology to DNA.
Monica Meissen (1998)
Banach Center Publications
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The minimal number of edges required to form a knot or link of type K is the edge number of K, and is denoted e(K). When knots are drawn with edges, they are appropriately called piecewise-linear or PL knots. This paper presents some edge number results for PL knots. Included are illustrations of and integer coordinates for the vertices of several prime PL knots.
Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Clark, Bradd Evans (1983)
International Journal of Mathematics and Mathematical Sciences
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Daniel S. Silver, Susan G. Williams (2009)
Banach Center Publications
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A conjecture of [swTAMS] states that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of knots that includes all knots of genus 1, using techniques from symbolic dynamics.
S. Jablan, R. Sazdanovic (2003)
Visual Mathematics
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Corinne Cerf (2002)
Visual Mathematics
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