TL;DR
This paper introduces a new invariant for virtual Y-oriented trivalent spatial graphs using virtual Niebrzydowski algebras, expanding previous coloring invariants and providing data for computational use.
Contribution
It generalizes existing coloring invariants with virtual Niebrzydowski algebras and supplies data sets for computational applications.
Findings
Developed a new invariant for virtual trivalent graphs.
Extended the framework of virtual tribrackets and Niebrzydowski algebras.
Provided data sets for computational implementation.
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 and Pico, and Graves, Nelson, and the second author. We provide usable data sets of Latin Cubes and virtual Niebrzydowski algebras for computational implementation.
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