An algorithm for constructing diagrams of two-bridge knots and links with period two

Autor:	Peter Kohn
Rok vydání:	1998
Předmět:	Discrete mathematics Applied Mathematics Skein relation Linking number Constructive Combinatorics symbols.namesake Euclidean algorithm Knot (unit) Euclidean geometry symbols Algorithm Analysis Quotient Mathematics
Zdroj:	Journal of Interdisciplinary Mathematics. 1:117-128
ISSN:	2169-012X 0972-0502
DOI:	10.1080/09720502.1998.10700247
Popis:	In this paper we review the connections between two-bridge knots and links, continued fractions and generalized Euclidean algorit.hms. Then, using a generalized Euclidean algorithm in which each partial quotient is even, we provide a constructive method demonstrating that every two-bridge knot and link has period two. Using the algorithm we develop, we are also able to obtain an additional method for computing the linking number of two-bridge links.
Databáze:	OpenAIRE
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