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» The Computational Complexity of Knot and Link Problems
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FOCS
1997
IEEE
13 years 9 months ago
The Computational Complexity of Knot and Link Problems
We consider the problem of deciding whether a polygonal knot in 3dimensional Euclidean space is unknotted, capable of being continuously deformed without self-intersection so that...
Joel Hass, J. C. Lagarias, Nicholas Pippenger
LATA
2009
Springer
13 years 11 months ago
Automata on Gauss Words
In this paper we investigate the computational complexity of knot theoretic problems and show upper and lower bounds for planarity problem of signed and unsigned knot diagrams repr...
Alexei Lisitsa, Igor Potapov, Rafiq Saleh
DCG
2011
12 years 8 months ago
A Celtic Framework for Knots and Links
We describe a variant of a method used by modern graphic artists to design what are traditionally called Celtic knots, which are part of a larger family of designs called “mirro...
Jonathan L. Gross, Thomas W. Tucker
WABI
2001
Springer
124views Bioinformatics» more  WABI 2001»
13 years 9 months ago
Computing Linking Numbers of a Filtration
We develop fast algorithms for computing the linking number of a simplicial complex within a filtration. We give experimental results in applying our work toward the detection of...
Herbert Edelsbrunner, Afra Zomorodian
WOLLIC
2009
Springer
13 years 11 months ago
Query Answering in Description Logics: The Knots Approach
In the recent years, query answering over Description Logic (DL) knowledge bases has been receiving increasing attention, and various methods and techniques have been presented for...
Thomas Eiter, Carsten Lutz, Magdalena Ortiz, Manta...