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An invariant of virtual trivalent spatial graphs.

Authors :
Carr, Evan
Scherich, Nancy
Tamagawa, Sherilyn
Source :
Journal of Knot Theory & Its Ramifications. Dec2023, Vol. 32 Issue 14, p1-15. 15p.
Publication Year :
2023

Abstract

We create an invariant of virtual Y -oriented trivalent spatial graphs using colorings by virtual Niebrzydowski algebras. This paper generalizes the color invariants using virtual tribrackets and Niebrzydowski algebras by Nelson–Pico, and Graves-Nelson-T. We computed all tribrackets, Niebrzydowski algebras and virtual Niebrzydowski algebras of orders 3 and 4, and provide generative code for all data sets. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02182165
Volume :
32
Issue :
14
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
175725168
Full Text :
https://doi.org/10.1142/S0218216523500876