TY - BOOK AU - Flapan,Erica AU - Henrich,Allison AU - Kaestner,Aaron AU - Nelson,Sam ED - AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory, AMS Special Session on Spatial Graphs TI - Knots, links, spatial graphs, and algebraic invariants T2 - Contemporary mathematics SN - 9781470428471 (pbk. : acidfree paper) U1 - 510 23 PY - 2017/// CY - Providence PB - American Mathematical Society KW - Knot theory KW - Congresses KW - Link theory KW - Graph theory KW - Invariants N1 - Includes bibliographical references; Preface: knots, graphs, algebra and combinatorics -- Knot theoretic structures: The first coefficient of Homflypt and Kauffman polynomials: Vertigian proof of polynomial complexity using dynamic programming / Jozef H. Przytycki -- Linear Alexander quandle coverings and the minimum number of colors / Mohamed Elhamdadi and Jeremy Kerr -- Quandle identities and homology / W. Edwin Clark and Masahico Saito -- Ribbonlength of folded ribbon unknots in the plane / Elizabeth Denne, Mary Kamp, Rebecca Terry, and Xichen (Catherine) Zhu -- Checkerboard framings and states of virtual link diagrams / Heather A. Dye -- Virtual covers of links II / Micah Chrisman and Aaron and Aaron Kaestner -- Spatial graph theory: Recent developments in spatial graph theory / Erica Flapan, Thomas W. Mattman, Blake Mellor, Ramin Naimi, and Ryo Nikkuni -- Order nine MMIK graphs / Thomas W. Mattman, Chris Morris, and Jody Ryker -- A chord graph constructed from a ribbon surface-link / Akio Kawuchi -- The K [subscript n+5] and K [subscript 3², 1 superscript n] families and obstructions to n-apex / Thomas W. Mattman and Michael Pierce -- Partial multiplicative biquandles and handlebody-knots / Atsushi Ishii and Sam Nelson -- Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs / Allison Henrich and Louis H. Kauffman N2 - Contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs. Included 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 ER -