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A Survey on Knotoids, Braidoids and Their Applications. / Gügümcü, Neslihan; Kauffman, Louis H.; Lambropoulou, Sofia.
Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. ed. / Colin C. Adams; Cameron McA. Gordon; Vaughan F.R. Jones; Louis H. Kauffman; Sofia Lambropoulou; Kenneth C. Millett; Jozef H. Przytycki; Jozef H. Przytycki; Renzo Ricca; Radmila Sazdanovic. Springer New York LLC, 2019. p. 389-409 (Springer Proceedings in Mathematics and Statistics; Vol. 284).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Harvard
Gügümcü, N, Kauffman, LH & Lambropoulou, S 2019,
A Survey on Knotoids, Braidoids and Their Applications. in CC Adams, CM Gordon, VFR Jones, LH Kauffman, S Lambropoulou, KC Millett, JH Przytycki, JH Przytycki, R Ricca & R Sazdanovic (eds),
Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Springer Proceedings in Mathematics and Statistics, vol. 284, Springer New York LLC, pp. 389-409, International Olympic Academy, 2016, Ancient Olympia, Greece,
17.07.2016.
https://doi.org/10.1007/978-3-030-16031-9_19APA
Gügümcü, N., Kauffman, L. H., & Lambropoulou, S. (2019).
A Survey on Knotoids, Braidoids and Their Applications. In C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. C. Millett, J. H. Przytycki, J. H. Przytycki, R. Ricca, & R. Sazdanovic (Eds.),
Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016 (pp. 389-409). (Springer Proceedings in Mathematics and Statistics; Vol. 284). Springer New York LLC.
https://doi.org/10.1007/978-3-030-16031-9_19Vancouver
Gügümcü N, Kauffman LH, Lambropoulou S.
A Survey on Knotoids, Braidoids and Their Applications. In Adams CC, Gordon CM, Jones VFR, Kauffman LH, Lambropoulou S, Millett KC, Przytycki JH, Przytycki JH, Ricca R, Sazdanovic R, editors, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Springer New York LLC. 2019. p. 389-409. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-16031-9_19
Author
Gügümcü, Neslihan ; Kauffman, Louis H. ; Lambropoulou, Sofia. /
A Survey on Knotoids, Braidoids and Their Applications. Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. editor / Colin C. Adams ; Cameron McA. Gordon ; Vaughan F.R. Jones ; Louis H. Kauffman ; Sofia Lambropoulou ; Kenneth C. Millett ; Jozef H. Przytycki ; Jozef H. Przytycki ; Renzo Ricca ; Radmila Sazdanovic. Springer New York LLC, 2019. pp. 389-409 (Springer Proceedings in Mathematics and Statistics).
BibTeX
@inproceedings{a3799dc001934663a4924d68aa5ce58f,
title = "A Survey on Knotoids, Braidoids and Their Applications",
abstract = "This paper is a survey on the theory of knotoids and braidoids. Knotoids are open ended knot diagrams in surfaces and braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids in the plane. We survey through the fundamental notions and existing works on these objects as well as their applications in the study of proteins.",
keywords = "Alexander theorem, Arrow loop polynomial, Braidoiding algorithm, Graphs, Knotoids, L-braidoiding move, L-moves, Line isotopy, Loop bracket polynomial, Markov theorem, Multi-knotoids, Planar knotoids, Proteins, Spherical knotoids",
author = "Neslihan G{\"u}g{\"u}mc{\"u} and Kauffman, {Louis H.} and Sofia Lambropoulou",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; International Olympic Academy, 2016 ; Conference date: 17-07-2016 Through 23-07-2016",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-16031-9_19",
language = "English",
isbn = "9783030160302",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "389--409",
editor = "Adams, {Colin C.} and Gordon, {Cameron McA.} and Jones, {Vaughan F.R.} and Kauffman, {Louis H.} and Sofia Lambropoulou and Millett, {Kenneth C.} and Przytycki, {Jozef H.} and Przytycki, {Jozef H.} and Renzo Ricca and Radmila Sazdanovic",
booktitle = "Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016",
address = "United States",
}
RIS
TY - GEN
T1 - A Survey on Knotoids, Braidoids and Their Applications
AU - Gügümcü, Neslihan
AU - Kauffman, Louis H.
AU - Lambropoulou, Sofia
N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2019.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This paper is a survey on the theory of knotoids and braidoids. Knotoids are open ended knot diagrams in surfaces and braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids in the plane. We survey through the fundamental notions and existing works on these objects as well as their applications in the study of proteins.
AB - This paper is a survey on the theory of knotoids and braidoids. Knotoids are open ended knot diagrams in surfaces and braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids in the plane. We survey through the fundamental notions and existing works on these objects as well as their applications in the study of proteins.
KW - Alexander theorem
KW - Arrow loop polynomial
KW - Braidoiding algorithm
KW - Graphs
KW - Knotoids
KW - L-braidoiding move
KW - L-moves
KW - Line isotopy
KW - Loop bracket polynomial
KW - Markov theorem
KW - Multi-knotoids
KW - Planar knotoids
KW - Proteins
KW - Spherical knotoids
UR - http://www.scopus.com/inward/record.url?scp=85069215915&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-16031-9_19
DO - 10.1007/978-3-030-16031-9_19
M3 - Conference contribution
AN - SCOPUS:85069215915
SN - 9783030160302
T3 - Springer Proceedings in Mathematics and Statistics
SP - 389
EP - 409
BT - Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016
A2 - Adams, Colin C.
A2 - Gordon, Cameron McA.
A2 - Jones, Vaughan F.R.
A2 - Kauffman, Louis H.
A2 - Lambropoulou, Sofia
A2 - Millett, Kenneth C.
A2 - Przytycki, Jozef H.
A2 - Przytycki, Jozef H.
A2 - Ricca, Renzo
A2 - Sazdanovic, Radmila
PB - Springer New York LLC
T2 - International Olympic Academy, 2016
Y2 - 17 July 2016 through 23 July 2016
ER -
