3 papers
math.CO2026
Shellability of 3-cut complexes of powers of cycle graphs
Pratiksha Chauhan, Samir Shukla
In connection with commutative algebra, Bayer et al. introduced cut complexes in [Topology of cut complexes of graphs, SIAM J.\ Discrete Math., 38(2):1630-1675, 2024]. For a positi…
math.CO2025
Total -cut complexes of powers of cycle graphs and Cartesian products of certain graphs
Pratiksha Chauhan, Samir Shukla, Kumar Vinayak
For a positive integer , the \emph{ total -cut complex} of a graph , denoted as , is the simplicial complex whose facets are such that $|Ï|…
math.CO2025
Shellability of -Cut Complexes of Squared Cycle Graphs
Pratiksha Chauhan, Samir Shukla, Kumar Vinayak
For a positive integer , the -cut complex of a graph is the simplicial complex whose facets are the -subsets of the vertex set of such that th…