Research output: Contribution to journal › Article › peer-review
On ribbon graphs and virtual links. / Baldridge, Scott; Kauffman, Louis H.; Rushworth, William.
In: European Journal of Combinatorics, Vol. 103, 103520, 06.2022.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On ribbon graphs and virtual links
AU - Baldridge, Scott
AU - Kauffman, Louis H.
AU - Rushworth, William
N1 - Funding Information: Kauffman's work was supported by the Laboratory of Topology and Dynamics, Novosibirsk State University (contract no. 14.Y26.31.0025 with the Ministry of Education and Science of the Russian Federation). All three authors would like to thank Ben McCarty for many helpful conversations and suggestions, and the anonymous referees for their careful reading of the paper. Publisher Copyright: © 2022 Elsevier Ltd
PY - 2022/6
Y1 - 2022/6
N2 - We introduce a new equivalence relation on decorated ribbon graphs, and show that its equivalence classes directly correspond to virtual links. We demonstrate how this correspondence can be used to convert any invariant of virtual links into an invariant of ribbon graphs, and vice versa.
AB - We introduce a new equivalence relation on decorated ribbon graphs, and show that its equivalence classes directly correspond to virtual links. We demonstrate how this correspondence can be used to convert any invariant of virtual links into an invariant of ribbon graphs, and vice versa.
UR - http://www.scopus.com/inward/record.url?scp=85126092089&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/f4cb9d8c-ba68-38d3-b75d-9eedc0e9f53b/
U2 - 10.1016/j.ejc.2022.103520
DO - 10.1016/j.ejc.2022.103520
M3 - Article
AN - SCOPUS:85126092089
VL - 103
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
SN - 0195-6698
M1 - 103520
ER -
ID: 35689762