Numerical upper bounds on ropelengths of large physical knots

Autor:	Yuanan Diao, Claus Ernst, Uta Ziegler, V Kavuluru
Rok vydání:	2006
Předmět:	Combinatorics Ropelength Knot (unit) Computation Crossing number (knot theory) General Physics and Astronomy Statistical and Nonlinear Physics Mathematics::Geometric Topology Upper and lower bounds Mathematical Physics Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 39:4829-4843
ISSN:	1361-6447 0305-4470
Popis:	Numerical computations explored for this paper show that an upper bound on the ropelength of large knots with crossing number n grows as fast as nln2n. The algorithms to randomly generate samples of such large knots and to determine an upper bound on the ropelength for each knot are described. The numeric results are presented and compared to the smallest known theoretical upper bounds on ropelength.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6719236d94baea0fa3f5cc260511cd3 https://doi.org/10.1088/0305-4470/39/18/004 Zobrazit plný text záznamu