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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. ред. / 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. стр. 389-409 (Springer Proceedings in Mathematics and Statistics; Том 284).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Gügümcü, N, Kauffman, LH & Lambropoulou, S 2019, A Survey on Knotoids, Braidoids and Their Applications. в CC Adams, CM Gordon, VFR Jones, LH Kauffman, S Lambropoulou, KC Millett, JH Przytycki, JH Przytycki, R Ricca & R Sazdanovic (ред.), Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Springer Proceedings in Mathematics and Statistics, Том. 284, Springer New York LLC, стр. 389-409, International Olympic Academy, 2016, Ancient Olympia, Греция, 17.07.2016. https://doi.org/10.1007/978-3-030-16031-9_19

APA

Gügümcü, N., Kauffman, L. H., & Lambropoulou, S. (2019). A Survey on Knotoids, Braidoids and Their Applications. в 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 (Ред.), Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016 (стр. 389-409). (Springer Proceedings in Mathematics and Statistics; Том 284). Springer New York LLC. https://doi.org/10.1007/978-3-030-16031-9_19

Vancouver

Gügümcü N, Kauffman LH, Lambropoulou S. A Survey on Knotoids, Braidoids and Their Applications. в Adams CC, Gordon CM, Jones VFR, Kauffman LH, Lambropoulou S, Millett KC, Przytycki JH, Przytycki JH, Ricca R, Sazdanovic R, Редакторы, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Springer New York LLC. 2019. стр. 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. Редактор / 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. стр. 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 -

ID: 20886504