3 papers
math.CO2024
A Cubical Perspective on Complements of Union-Closed Families of Sets
Dhruv Bhasin
Complements of union-closed families of sets, over a finite ground set, are known as simply rooted families of sets. Cubical sets are widely studied topological objects having appl…
math.CO2022
Graph Polynomial for Colored Embedded Graphs: A Topological Approach
Somnath Basu, Dhruv Bhasin, Siddhartha Lal +1
We study finite graphs embedded in oriented surfaces by associating a polynomial to it. The tools used in developing a theory of such graph polynomials are algebraic topological wh…
math.CO2020
Closures of Union-Closed Families
Dhruv Bhasin
Given a union-closed family of subsets of the universe , with not equal to the power set of , a new subset can be added to it such that th…