Marked graph mosaics
Seonmi Choi, Sam Nelson · Journal of Knot Theory and Its Ramifications · 2025
In this paper, we consider the notion of mosaic diagrams for surface-links using marked graph diagrams. We establish bounds, in some cases tight, on the mosaic numbers for the surface-links with ch-index up to 10. As an application, we use mosaic diagrams to enhance the kei counting invariant for unoriented surface-links as well as classical knots and links.