2 papers
math.CO2026
A combinatorial nerve theorem for effective homology computation
Sucharita Barik, Anupam Mondal, Sajal Mukherjee +2
The celebrated (homological) nerve theorem makes use of spectral sequences to determine the homology of a simplicial complex. However, this theorem cannot effectively compute the h…
math.CO2026
A recursive construction of an acyclic matching on the independence complex of a graph with a simplicial vertex
Sucharita Barik, Anupam Mondal, Sajal Mukherjee
We provide a recursive construction of an acyclic matching (also known as a gradient vector field, an equivalent notion to a discrete Morse function) on the independence complex of…