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Citation - WoS: 7
Citation - Scopus: 8
Invariants of Multi-Linkoids
(Springer Basel Ag, 2023) Gabrovsek, Bostjan; Güğümcü, Neslihan; Güğümcü, Neslihan; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
In this paper, we extend the definition of a knotoid to multilinkoids that consist of a finite number of knot and knotoid components. We study invariants of multi-linkoids, such as the Kauffman bracket polynomial, ordered bracket polynomial, the Kauffman skein module, and the T-invariant in relation with generalized T-graphs.
Citation - WoS: 8
Citation - Scopus: 8
Invariants of Bonded Knotoids and Applications To Protein Folding
(MDPI, 2022) Güğümcü, Neslihan; Güğümcü, Neslihan; Kauffman, Louis H.; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
In this paper, we study knotoids with extra graphical structure (bonded knotoids) in the settings of rigid vertex and topological vertex graphs. We construct bonded knotoid invariants by applying tangle insertion and unplugging at bonding sites of a bonded knotoid. We demonstrate that our invariants can be used for the analysis of the topological structure of proteins.

WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection