3 papers
math.CO2026
Independence complexes of generalized Mycielskian graphs
Andrés Carnero Bravo
We show that the homotopy type of the independence complex of the generalized Mycielskian of a graph is determined by the homotopy type of the independence complex of and t…
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.CO2025
On independence complexes of graph products
Andrés Carnero Bravo
We study the independence complexes of graph products where at least one factor is a path. We also analyze the complexes of their induced subgraphs. We determine the homotopy type…