@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",
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",
note = "International Olympic Academy, 2016 ; Conference date: 17-07-2016 Through 23-07-2016",
}