Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes

This short discussion paper comments on Francisco Santos’ excellent review paper Recent Progress on the Combinatorial Diameter of Polytopes and Simplicial Complexes. We provide some notes on a few closely related topics that were not covered in the survey paper, such as: some relaxed version of the Hirsch conjecture; computability depending on problem data; and continuous versions of the Hirsch conjecture. Copyright Sociedad de Estadística e Investigación Operativa 2013