29 citations · 77 across the 30 of their papers we have counts for
35 papers
Knots, black holes, databases, and birthdays: Collision entropy of knot invariants
Pedro Olivares-Sánchez, Edison Jessie Vázquez Gordillo, Radmila Sazdanović +5
A knot invariant is a fingerprint shared by equivalent knots: unequal values certify inequivalence, while equal values may conceal different knots. Under two rooted random-diagram…
A whittled complex for the Khovanov homology of torus links
Carmen Caprau, Nicolle Gonzalez, Christine Ruey Shan Lee +1
We give an algorithm for reducing the number of generators of the Khovanov chain complex of the torus braid on strands by applying Bar-Natan…
Dowker's theorem for higher-order relations
Vin de Silva, Chad Giusti, Vladimir Itskov +5
Given a relation between two sets, Dowker's Theorem (1952) states that the homology groups of two associated simplicial complexes, now known as Dowker comp…
Data Driven Perspectives on Knot Theory
Pawel Dlotko, Davide Gurnari, Radmila Sazdanovic
Data science offers a powerful tool to understand objects in multiple sciences. In this paper we utilize concept of data science, most notably topological data analysis, to extend…
Torsion in Magnitude homology theories
Patrick Martin, Radmila Sazdanovic
In this article, we analyze the structure and relationships between magnitude homology and Eulerian magnitude homology of finite graphs. Building on the work of Kaneta and Yoshinag…
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…