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. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
9781613246290 (electronic bk.)
Knot theory.
Electronic books.
QA612.2 / .D53 2009
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. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
9781613246290 (electronic bk.)
Knot theory.
Electronic books.
QA612.2 / .D53 2009
514/.2242