The Resource Knots, Links, Spatial Graphs, and Algebraic Invariants
Knots, Links, Spatial Graphs, and Algebraic Invariants
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The item Knots, Links, Spatial Graphs, and Algebraic Invariants represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.This item is available to borrow from 1 library branch.
Resource Information
The item Knots, Links, Spatial Graphs, and Algebraic Invariants represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.
This item is available to borrow from 1 library branch.
 Summary
 This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 2425, 2015, at California State University, Fullerton, CA. Included in this volume are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams that are preserved under a set of Reidemeistertype moves. The interconnections of these areas and their connec
 Language
 eng
 Extent
 1 online resource (202 p.)
 Note

 Description based upon print version of record
 Partially multiplicative biquandles and handlebodyknots
 Contents

 Cover; Title page; Contents; Preface: Knots, graphs, algebra & combinatorics; Part I: Knot Theoretic Structures; Part II: Spatial Graph Theory; References; The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming; 1. Introduction; 2. Computation of 0( ); 3. Computation of 2{u1D62}( ).; 4. Coefficients of the Kauffman polynomial, _{ }( , ).; 5. Polynomials of virtual diagrams.; 6. Dynamic programming; 7. Knotoids of Vladimir Turaev; 8. Acknowledgements; References
 Linear Alexander quandle colorings and the minimum number of colors1. Introduction; 2. Review of Quandles; 3. Coloring of Knots by Linear Alexander Quandles of order 5; 4. Main Result; 5. Four Colors is the Minimum Number of Colors; References; Quandle identities and homology; 1. Introduction; 2. Preliminary; 3. Type 3 quandles; 4. From identities to extensions and subcomplexes; 5. Inner identities; Acknowledgements; References; Ribbonlength of folded ribbon unknots in the plane; 1. Introduction; 2. Modeling Folded Ribbon Knots; 3. Ribbon Equivalence; 4. Ribbonlength
 5. Local structure of folded ribbon knots6. Projection stick index and ribbonlength; Acknowledgments; References; Checkerboard framings and states of virtual link diagrams; 1. Introduction; 2. Virtual knots; 3. The Bracket polynomial; 4. Establishing the result; 5. Conclusion; References; Virtual covers of links II; 1. Background; 2. SemiFibered Concordance; 3. Ribbon and Slice Obstructions; 4. Injectivity of Satellite Operators; 5. Concordance and Cables of Knots in 3manifolds; Acknowledgments; References; Recent developments in spatial graph theory; 1. Introduction
 2. Intrinsic linking and knotting3. apex graphs; 4. ConwayGordon type theorems for graphs in {u2131}( 6) and {u2131}( 7); 5. ConwayGordon type theorems for _{3,3,1,1}; 6. Linear embeddings of graphs; 7. Symmetries of spatial graphs in 3; 8. Graphs embedded in 3Manifolds; References; Order nine MMIK graphs; Introduction; 1. Definitions and Lemmas; 2. Proof of Proposition 2; 3. Proof of Proposition 4; 4. Computer Verification for Size 23 through 27; Acknowledgements; References; A chord graph constructed from a ribbon surfacelink; 1. Introduction
 2. How to transform a (welded virtual) link diagram into a chord diagram without base crossing3. How to transform a chord graph into a ribbon surfacelink in 4space; 4. How to modify the moves on a chord diagram into the moves on a chord diagram without base crossing; References; The _{ +5} and _{32,1{u207F}} families and obstructions to apex.; Introduction; 1. Proof of Theorem 3; 2. Results for \On{2} and \On{3}; Appendix A. Edge lists of 8 family graphs; Appendix B. 8 family graphs are not 3apex; Appendix C. Proper minors are 3apex; References
 Isbn
 9781470440770
 Label
 Knots, Links, Spatial Graphs, and Algebraic Invariants
 Title
 Knots, Links, Spatial Graphs, and Algebraic Invariants
 Language
 eng
 Summary
 This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 2425, 2015, at California State University, Fullerton, CA. Included in this volume are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams that are preserved under a set of Reidemeistertype moves. The interconnections of these areas and their connec
 Cataloging source
 EBLCP
 http://library.link/vocab/creatorName
 Flapan, Erica
 Dewey number
 514.2242
 Index
 no index present
 LC call number
 QA612.2.K565 2017
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Henrich, Allison
 Kaestner, Aaron
 Nelson, Sam
 Series statement
 Contemporary Mathematics
 Series volume
 v.689
 http://library.link/vocab/subjectName

 Knot theory
 Link theory
 Graph theory
 Invariants
 Manifolds and cell complexes  Lowdimensional topology  Relations with graph theory
 Graph theory
 Invariants
 Knot theory
 Link theory
 Label
 Knots, Links, Spatial Graphs, and Algebraic Invariants
 Note

 Description based upon print version of record
 Partially multiplicative biquandles and handlebodyknots
 Contents

 Cover; Title page; Contents; Preface: Knots, graphs, algebra & combinatorics; Part I: Knot Theoretic Structures; Part II: Spatial Graph Theory; References; The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming; 1. Introduction; 2. Computation of 0( ); 3. Computation of 2{u1D62}( ).; 4. Coefficients of the Kauffman polynomial, _{ }( , ).; 5. Polynomials of virtual diagrams.; 6. Dynamic programming; 7. Knotoids of Vladimir Turaev; 8. Acknowledgements; References
 Linear Alexander quandle colorings and the minimum number of colors1. Introduction; 2. Review of Quandles; 3. Coloring of Knots by Linear Alexander Quandles of order 5; 4. Main Result; 5. Four Colors is the Minimum Number of Colors; References; Quandle identities and homology; 1. Introduction; 2. Preliminary; 3. Type 3 quandles; 4. From identities to extensions and subcomplexes; 5. Inner identities; Acknowledgements; References; Ribbonlength of folded ribbon unknots in the plane; 1. Introduction; 2. Modeling Folded Ribbon Knots; 3. Ribbon Equivalence; 4. Ribbonlength
 5. Local structure of folded ribbon knots6. Projection stick index and ribbonlength; Acknowledgments; References; Checkerboard framings and states of virtual link diagrams; 1. Introduction; 2. Virtual knots; 3. The Bracket polynomial; 4. Establishing the result; 5. Conclusion; References; Virtual covers of links II; 1. Background; 2. SemiFibered Concordance; 3. Ribbon and Slice Obstructions; 4. Injectivity of Satellite Operators; 5. Concordance and Cables of Knots in 3manifolds; Acknowledgments; References; Recent developments in spatial graph theory; 1. Introduction
 2. Intrinsic linking and knotting3. apex graphs; 4. ConwayGordon type theorems for graphs in {u2131}( 6) and {u2131}( 7); 5. ConwayGordon type theorems for _{3,3,1,1}; 6. Linear embeddings of graphs; 7. Symmetries of spatial graphs in 3; 8. Graphs embedded in 3Manifolds; References; Order nine MMIK graphs; Introduction; 1. Definitions and Lemmas; 2. Proof of Proposition 2; 3. Proof of Proposition 4; 4. Computer Verification for Size 23 through 27; Acknowledgements; References; A chord graph constructed from a ribbon surfacelink; 1. Introduction
 2. How to transform a (welded virtual) link diagram into a chord diagram without base crossing3. How to transform a chord graph into a ribbon surfacelink in 4space; 4. How to modify the moves on a chord diagram into the moves on a chord diagram without base crossing; References; The _{ +5} and _{32,1{u207F}} families and obstructions to apex.; Introduction; 1. Proof of Theorem 3; 2. Results for \On{2} and \On{3}; Appendix A. Edge lists of 8 family graphs; Appendix B. 8 family graphs are not 3apex; Appendix C. Proper minors are 3apex; References
 Control code
 993763011
 Dimensions
 unknown
 Extent
 1 online resource (202 p.)
 Form of item
 online
 Isbn
 9781470440770
 Specific material designation
 remote
 System control number
 (OCoLC)993763011
 Label
 Knots, Links, Spatial Graphs, and Algebraic Invariants
 Note

 Description based upon print version of record
 Partially multiplicative biquandles and handlebodyknots
 Contents

 Cover; Title page; Contents; Preface: Knots, graphs, algebra & combinatorics; Part I: Knot Theoretic Structures; Part II: Spatial Graph Theory; References; The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming; 1. Introduction; 2. Computation of 0( ); 3. Computation of 2{u1D62}( ).; 4. Coefficients of the Kauffman polynomial, _{ }( , ).; 5. Polynomials of virtual diagrams.; 6. Dynamic programming; 7. Knotoids of Vladimir Turaev; 8. Acknowledgements; References
 Linear Alexander quandle colorings and the minimum number of colors1. Introduction; 2. Review of Quandles; 3. Coloring of Knots by Linear Alexander Quandles of order 5; 4. Main Result; 5. Four Colors is the Minimum Number of Colors; References; Quandle identities and homology; 1. Introduction; 2. Preliminary; 3. Type 3 quandles; 4. From identities to extensions and subcomplexes; 5. Inner identities; Acknowledgements; References; Ribbonlength of folded ribbon unknots in the plane; 1. Introduction; 2. Modeling Folded Ribbon Knots; 3. Ribbon Equivalence; 4. Ribbonlength
 5. Local structure of folded ribbon knots6. Projection stick index and ribbonlength; Acknowledgments; References; Checkerboard framings and states of virtual link diagrams; 1. Introduction; 2. Virtual knots; 3. The Bracket polynomial; 4. Establishing the result; 5. Conclusion; References; Virtual covers of links II; 1. Background; 2. SemiFibered Concordance; 3. Ribbon and Slice Obstructions; 4. Injectivity of Satellite Operators; 5. Concordance and Cables of Knots in 3manifolds; Acknowledgments; References; Recent developments in spatial graph theory; 1. Introduction
 2. Intrinsic linking and knotting3. apex graphs; 4. ConwayGordon type theorems for graphs in {u2131}( 6) and {u2131}( 7); 5. ConwayGordon type theorems for _{3,3,1,1}; 6. Linear embeddings of graphs; 7. Symmetries of spatial graphs in 3; 8. Graphs embedded in 3Manifolds; References; Order nine MMIK graphs; Introduction; 1. Definitions and Lemmas; 2. Proof of Proposition 2; 3. Proof of Proposition 4; 4. Computer Verification for Size 23 through 27; Acknowledgements; References; A chord graph constructed from a ribbon surfacelink; 1. Introduction
 2. How to transform a (welded virtual) link diagram into a chord diagram without base crossing3. How to transform a chord graph into a ribbon surfacelink in 4space; 4. How to modify the moves on a chord diagram into the moves on a chord diagram without base crossing; References; The _{ +5} and _{32,1{u207F}} families and obstructions to apex.; Introduction; 1. Proof of Theorem 3; 2. Results for \On{2} and \On{3}; Appendix A. Edge lists of 8 family graphs; Appendix B. 8 family graphs are not 3apex; Appendix C. Proper minors are 3apex; References
 Control code
 993763011
 Dimensions
 unknown
 Extent
 1 online resource (202 p.)
 Form of item
 online
 Isbn
 9781470440770
 Specific material designation
 remote
 System control number
 (OCoLC)993763011
Subject
 Conference papers and proceedings
 Electronic books
 Graph theory
 Graph theory  Congresses
 Invariants
 Invariants  Congresses
 Knot theory
 Knot theory  Congresses
 Link theory
 Link theory  Congresses
 Manifolds and cell complexes  Lowdimensional topology  Relations with graph theory
Genre
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