The 3-strand bracket polynomial conjecture for virtual knot diagrams

Let $K$ be a virtual knot diagram. The 3-strand bracket polynomial conjecture. The 3-strand bracket polynomial detects all non-trivial virtual knot diagrams. This would establish the 3-strand bracket polynomial as a universal detector of non-triviality among virtual knot diagrams; the paper presents it as an unresolved conclusion motivated by the constructed families.