Publications
1. New Invariants of Knotoids, N.Gügümcü, L.H. Kauffman,
European Journal of Combinatorics, 65C , 2017, pp. 186-229
2. On the Height of Knotoids, N.Gügümcü, L.H. Kauffman,
Springer Proc. in Mathematics & Statistics (PROMS) titled: Alg. Modeling of Topological and Comp. Structures&Applications, 2017.
3. Topological Models for knotted bonded open protein chains using the concept of knotoids and bonded knotoids , D.Goundaroulis, N.Gügümcü, S.Lambropoulou, J.Dorier, A. Stasiak, and L.H.Kauffman,
Polymers 2017, 9(9), 444.
4. Knotoids, Braidoids and Applications,
Symmetry, Special Issue on Knot Theory and Its Applications, 2017, 9(12), 315.
5. Biquandle Coloring Invariants of Knotoids, N.Gügümcü, Sam Nelson,
J.of Knot Theory and Its Ramifications, No:24(4), 2019.
6. A survey on knotoids, braidoids and applications, N.Gügümcü, S.Lambropoulou, L.H. Kauffman)
Springer Proc. in Mathematics & Statistics (PROMS), Knots, Low-Dimensional Topology and Applications, 2018.
7.What is a braidoid?
A Concise Encyclopedia of Knot Theory by Taylor&Francis.
8. Braidoids, N.Gügümcü, S.Lambropoulou,
Israel Journal of Mathematics volume 242, pages955–995 (2021)
9. Braidoids, N.Gügümcü, S.Lambropoulou, Oberwolfach Preprints 2020, 17 (OWP).
10. Biquandle Brackets and Knotoids N.Gügümcü, S.Nelson, N. Oyamaguchi,
to appear in J. of Knot Theory and Its Ramifications, https://doi.org/10.1142/S0218216521500644
11. Quantum invariants of knotoids, N.Gügümcü, L.H.Kauffman,
Commun. Math. Phys. (2021). https://doi.org/10.1007/s00220-021-04081-3
12. Invariants of bonded knotoids and applications to protein folding,N.Gügümcü, B.Gabrovsek, L.Kauffman Symmetry, 2022, 14(8), 1724; https://doi.org/10.3390/sym14081724
13. Invariants of multi-linkoids, with Bostjan Gabrovsek, Mediterranean J of Mathematics, https://link.springer.com/article/10.1007/s00009-023-02370-w, 2023
14. k-color region select game, with Ahmet Batal, Journal of Mathematical Society of Japan, 2023, https://projecteuclid.org/journals/journal-of-the-mathematical-society-of-japan/volume-75/issue-4/k-color-region-select-game/10.2969/jmsj/89408940.short?tab=ArticleFirstPage
15.Spatial Graphoids, with Puttipong Pongtanapaisan and Louis Kauffman, Aequationes Mathematicae, 2023, https://link.springer.com/article/10.1007/s00010-023-00981-y
16. Mock Alexander polynomials, with Lou Kauffman, ongoing project
17. Extended Clock Theorem, with Lou Kauffman, ongoing project
18.On a conjecture of the state-sum polynomial of linkoid, with Lou Kauffman, Jo Monaghan and Wout Moltmaker, ongoing project
19. n-pointed quandles for linkoids, with Runa Pflume, ongoing project