3 papers
math.AT2024
Structure of the chromatic polynomial
Radmila Sazdanovic, Daniel Scofield
Recently, big data techniques such as machine learning and topological data analysis have made their way to theoretical mathematics. Motivated by the recent work with polynomial in…
math.GT2020
Extremal Khovanov homology and the girth of a knot
Radmila Sazdanovic, Daniel Scofield
We utilize relations between Khovanov and chromatic graph homology to determine extreme Khovanov groups and corresponding coefficients of the Jones polynomial. The extent to which…
math.GT2018
Patterns in Khovanov link and chromatic graph homology
Radmila Sazdanovic, Daniel Scofield
Khovanov homology of a link and chromatic graph homology are known to be isomorphic in a range of homological gradings that depend on the girth of a graph. We discuss patterns shar…