3 papers
math.CO2025
A spanning tree model for chromatic homology
Aninda Banerjee, Apratim Chakraborty, Swarup Kumar Das +1
After the discovery of Khovanov homology, which categorifies the Jones polynomial, an analogous categorification of the chromatic polynomial, known as chromatic homology, was intro…
math.CO2024
Symmetric Domino Tilings of Aztec Diamonds
Pravakar Paul, Manjil P. Saikia
In this paper, we give inductive sum formulas to calculate the number of diagonally symmetric, and diagonally \& anti-diagonally symmetric domino tilings of Aztec Diamonds. As a by…
math.CO2024
A Novel Approach to Counting Perfect Matchings of Graphs
Pravakar Paul, Manjil P. Saikia
We build a new perspective to count perfect matchings of a given graph. This idea is motivated by a construction on the relative cohomology group of surfaces. As an application of…