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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

Harvard

Baldridge, S, Kauffman, LH & Rushworth, W 2022, 'On ribbon graphs and virtual links', European Journal of Combinatorics, vol. 103, 103520. https://doi.org/10.1016/j.ejc.2022.103520

APA

Baldridge, S., Kauffman, L. H., & Rushworth, W. (2022). On ribbon graphs and virtual links. European Journal of Combinatorics, 103, [103520]. https://doi.org/10.1016/j.ejc.2022.103520

Vancouver

Baldridge S, Kauffman LH, Rushworth W. On ribbon graphs and virtual links. European Journal of Combinatorics. 2022 Jun;103:103520. doi: 10.1016/j.ejc.2022.103520

Author

Baldridge, Scott ; Kauffman, Louis H. ; Rushworth, William. / On ribbon graphs and virtual links. In: European Journal of Combinatorics. 2022 ; Vol. 103.

BibTeX

@article{92b0c69cd9324a87b51308e2aab4eecc,
title = "On ribbon graphs and virtual links",
abstract = "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.",
author = "Scott Baldridge and Kauffman, {Louis H.} and William Rushworth",
note = "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: {\textcopyright} 2022 Elsevier Ltd",
year = "2022",
month = jun,
doi = "10.1016/j.ejc.2022.103520",
language = "English",
volume = "103",
journal = "European Journal of Combinatorics",
issn = "0195-6698",
publisher = "Academic Press Inc.",

}

RIS

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