Homotopy type of the independence complex of some categorical products of graphs

Omar Antolín Camarena, Andrés Carnero Bravo

It was conjectured by Goyal, Shukla and Singh that the independence complex of the categorical product $K_2\times K_3\times K_n$ has the homotopy type of a wedge of $(n-1)(3n-2)$ s…