3 papers
math.AC2026
Simis and packing properties of Alexander dual of connected ideals
Om Prakash Bhardwaj, Kanoy Kumar Das, Rutuja Sawant
In this article, we investigate when the ordinary and symbolic powers of the Alexander dual of connected ideals of graphs coincide, and provide a complete classification of all suc…
math.CO2026
Vertex decomposable complexes of directed forests, conflict graphs and chordality
Priyavrat Deshpande, Rutuja Sawant
Let be a multidigraph. We study the simplicial complex , whose vertices are the directed edges of and whose faces correspond to directed linear forests, th…
math.CO2025
The complex of -co-connected subgraphs, chordality and Fröberg's theorem
Priyavrat Deshpande, Amit Roy, Rutuja Sawant
We introduce a new family of pure simplicial complexes, called the -co-connected complex of with respect to , , where is a natural number, is a si…