Geometric properties and problems of thick knots
Diao, Yuanan.
Geometric properties and problems of thick knots [electronic resource] / Yuanan Diao and Claus Ernst. - New York : Nova Science Publishers, c2009. - 81 p. : ill. - Mathematics research developments series . - Mathematics research developments series. .
Includes bibliographical references and index.
Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions.
Electronic reproduction.
Palo Alto, Calif. :
ebrary,
2013.
Available via World Wide Web.
Access may be limited to ebrary affiliated libraries.
Knot theory.
Electronic books.
QA612.2 / .D53 2009eb
514/.2242
Geometric properties and problems of thick knots [electronic resource] / Yuanan Diao and Claus Ernst. - New York : Nova Science Publishers, c2009. - 81 p. : ill. - Mathematics research developments series . - Mathematics research developments series. .
Includes bibliographical references and index.
Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions.
Electronic reproduction.
Palo Alto, Calif. :
ebrary,
2013.
Available via World Wide Web.
Access may be limited to ebrary affiliated libraries.
Knot theory.
Electronic books.
QA612.2 / .D53 2009eb
514/.2242