Record:   Prev Next
作者 Sazdanovic, Radmila
書名 LinKnot - Knot Theory by Computer : Knot Theory by Computer
出版項 Singapore : World Scientific Publishing Co Pte Ltd, 2007
©2007
國際標準書號 9789812772244 (electronic bk.)
9789812772237
book jacket
說明 1 online resource (500 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Series on Knots and Everything Ser. ; v.21
Series on Knots and Everything Ser
附註 Intro -- Contents -- Preface -- 1. Notation of Knots and Links -- 1.1 Basic graph theory -- 1.2 Shadows of KLs -- 1.2.1 Gauss and Dowker code -- 1.3 KL diagrams -- 1.4 Reidemeister moves -- 1.5 Conway notation -- 1.6 Classification of KLs -- 1.7 LinKnot functions and KL notation -- 1.8 Rational world and KL invariants -- 1.8.1 Chirality of rational KLs -- 1.9 Unlinking number and unlinking gap -- 1.10 Prime and composite KLs -- 1.11 Non-invertible KLs -- 1.11.1 Tangle types -- 1.11.2 Non-invertible pretzel knots -- 1.11.3 Non-invertible arborescent knots -- 1.11.4 Non-invertible polyhedral knots -- 1.12 Reduction of R-tangles -- 1.12.1 KLs with unlinking number one -- 1.13 Braids -- 1.13.1 KLs and braids -- 1.14 Braid family representatives -- 1.14.1 Applications of minimum braids and braid family representatives -- 1.15 More KL invariants -- 1.16 Borromean links -- 2. Recognition and Generation of Knots and Links -- 2.1 Recognition of KLs -- 2.1.1 Group of KL -- 2.2 Polynomial invariants -- 2.3 Vassiliev invariants -- 2.4 Experimenting with KLs -- 2.5 Derivation and classification of KLs -- 2.6 Basic polyhedra and polyhedral KLs -- 2.7 Basic polyhedra and non-algebraic tangles -- 2.7.1 Generalized tangles -- 2.7.2 n-tangles and basic polyhedra -- 2.7.3 Non-algebraic tangle compositions and component algebra -- 2.8 KL tables -- 2.8.1 Non-alternating and almost alternating KLs -- 2.9 Projections of KLs and chirality -- 2.10 Families of undetectable KLs -- 2.10.1 Detecting chirality of KLs by polynomial invariants -- 2.11 A dream- new KL tables -- 3. History of Knot Theory and Applications of Knots and Links -- 3.1 History of knot theory -- 3.2 Mirror curves -- 3.2.1 Tamil treshold designs -- 3.2.2 Tchokwe sand drawings -- 3.2.3 Construction of mirror curves -- 3.2.4 Enumeration of mirror curves -- 3.2.5 Lunda designs -- 3.2.6 Polyominoes
3.2.6.1 Lunda polyominoes and Lunda animals -- 3.2.7 KLs and mirror curves -- 3.2.8 Mirror curves on di erent surfaces -- 3.2.9 Mirror curves in art -- 3.2.10 KLs and self-avoiding curves -- 3.3 KLs and fullerenes -- 3.3.1 General fullerenes, graphs, symmetry and isomers -- 3.3.2 5/6 fullerenes -- 3.3.3 Knot theory and fullerenes -- 3.3.4 Nanotubes, conical and biconical fullerenes and their symmetry -- 3.3.5 Fullerenes on other surfaces -- 3.4 KLs and logic -- 3.5 Waveforms -- 3.6 Knot automata -- Bibliography -- Index
Key Features:A self-contained book with numerous useful examplesIncludes over 300 figures
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Sazdanovic, Radmila LinKnot - Knot Theory by Computer : Knot Theory by Computer Singapore : World Scientific Publishing Co Pte Ltd,c2007 9789812772237
主題 Knot theory -- Data processing.;Link theory -- Data processing
Electronic books
Alt Author Jablan, Slavik Vlado
Record:   Prev Next