3 papers
math.CO2026
On a complete characterization of path-free complexes associated with complete multipartite graphs
Priyavrat Deshpande, Shuchita Goyal, Rutuja Sawant
Let be a graph and let $\PF_t(G)$ denote the simplicial complex whose faces are vertex subsets whose induced subgraphs contain no path on vertices. These complexes encode a…
math.AT2025
Left and right Bousfield localization on lattices
Andrés Carnero Bravo, Shuchita Goyal, Sofía Martínez Alberga +3
The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coheren…
math.AT2023
Cofibration category structures on the category of graphs
Shuchita Goyal, Rekha Santhanam
In this article, we show that there is no cofibration category structure on the category of finite graphs with -homotopy equivalences as the class of weak equivalences. Fur…