| Softcover ISBN: | 978-1-4704-2847-1 |
| Product Code: | CONM/689 |
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| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-4077-0 |
| Product Code: | CONM/689.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-2847-1 |
| eBook: ISBN: | 978-1-4704-4077-0 |
| Product Code: | CONM/689.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
| Softcover ISBN: | 978-1-4704-2847-1 |
| Product Code: | CONM/689 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-4077-0 |
| Product Code: | CONM/689.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-2847-1 |
| eBook ISBN: | 978-1-4704-4077-0 |
| Product Code: | CONM/689.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Book DetailsContemporary MathematicsVolume: 689; 2017; 189 ppMSC: Primary 05; 57
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 24–25, 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 Reidemeister-type moves.
The interconnections of these areas and their connections within the broader field of topology are illustrated by articles about knots and links in spatial graphs and symmetries of spatial graphs in \(S^3\) and other 3-manifolds.
ReadershipGraduate students and research mathematicians interested in knot theory.
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Table of Contents
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Articles
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Józef H. Przytycki — The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming
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Mohamed Elhamdadi and Jeremy Kerr — Linear Alexander quandle colorings and the minimum number of colors
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W. Edwin Clark and Masahico Saito — Quandle identities and homology
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Elizabeth Denne, Mary Kamp, Rebecca Terry and Xichen (Catherine) Zhu — Ribbonlength of folded ribbon unknots in the plane
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Heather A. Dye — Checkerboard framings and states of virtual link diagrams
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Micah Chrisman and Aaron Kaestner — Virtual covers of links II
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Erica Flapan, Thomas W. Mattman, Blake Mellor, Ramin Naimi and Ryo Nikkuni — Recent developments in spatial graph theory
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Thomas W. Mattman, Chris Morris and Jody Ryker — Order nine MMIK graphs
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Akio Kawauchi — A chord graph constructed from a ribbon surface-link
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Thomas W. Mattman and Michael Pierce — The $K_{n+5}$ and $K_{3^2,1^n}$ families and obstructions to $n$-apex.
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Atsushi Ishii and Sam Nelson — Partially multiplicative biquandles and handlebody-knots
-
Allison Henrich and Louis H. Kauffman — Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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 24–25, 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 Reidemeister-type moves.
The interconnections of these areas and their connections within the broader field of topology are illustrated by articles about knots and links in spatial graphs and symmetries of spatial graphs in \(S^3\) and other 3-manifolds.
Graduate students and research mathematicians interested in knot theory.
-
Articles
-
Józef H. Przytycki — The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming
-
Mohamed Elhamdadi and Jeremy Kerr — Linear Alexander quandle colorings and the minimum number of colors
-
W. Edwin Clark and Masahico Saito — Quandle identities and homology
-
Elizabeth Denne, Mary Kamp, Rebecca Terry and Xichen (Catherine) Zhu — Ribbonlength of folded ribbon unknots in the plane
-
Heather A. Dye — Checkerboard framings and states of virtual link diagrams
-
Micah Chrisman and Aaron Kaestner — Virtual covers of links II
-
Erica Flapan, Thomas W. Mattman, Blake Mellor, Ramin Naimi and Ryo Nikkuni — Recent developments in spatial graph theory
-
Thomas W. Mattman, Chris Morris and Jody Ryker — Order nine MMIK graphs
-
Akio Kawauchi — A chord graph constructed from a ribbon surface-link
-
Thomas W. Mattman and Michael Pierce — The $K_{n+5}$ and $K_{3^2,1^n}$ families and obstructions to $n$-apex.
-
Atsushi Ishii and Sam Nelson — Partially multiplicative biquandles and handlebody-knots
-
Allison Henrich and Louis H. Kauffman — Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs
