This is the (blog and) homepage of Dirk Oliver Theis, University of Tartu, Estonia. I post on my research, mainly in Discrete Mathematics: probabilistic combinatorics, random structures; combinatorial matrix theory, matrix factorizations, polyhedral combinatorial optimization; hypergraph theory, graph theory; and more.

This question is in reference to your posting "Best combinatorial bound for extension complexity". May I know what exactly you mean by combinatorially equivalent polytopes, in questions 2 and 3?

Thanks and regards, Ashish (ashish.chiplunkar@gmail.com)

Hi Ashish Two polytopes are called combinatorially equivalent, if they have the same face lattice. The point is that this does not, in general, imply that the two polytopes are projectively isomorphic.

I am Adewusi Janet, a research tutor at the African Institute for Mathematical Sciences. This question is from the definition of your posting of " C-extension of a pair of convex polyhedral cones ". Can the definition be used in a measurable space?

Thanks and best regards, Janet (f.adewusi@aims.edu.gh)

I am Adewusi Janet, a research tutor at the African Institute for Mathematical Sciences. This question is from the definition of your posting of " C-extension of a pair of convex polyhedral cones ". Can the definition be used in a measurable space?

Thanks and best regards, Janet (f.adewusi@aims.edu.gh)

Hi Dirk,

ReplyDeleteThis question is in reference to your posting "Best combinatorial bound for extension complexity". May I know what exactly you mean by combinatorially equivalent polytopes, in questions 2 and 3?

Thanks and regards,

Ashish

(ashish.chiplunkar@gmail.com)

Hi Ashish

ReplyDeleteTwo polytopes are called combinatorially equivalent, if they have the same face lattice. The point is that this does not, in general, imply that the two polytopes are projectively isomorphic.

Hi Dirk,

ReplyDeleteI am Adewusi Janet, a research tutor at the African Institute for Mathematical Sciences. This question is from the definition of your posting of " C-extension of a pair of convex polyhedral cones ". Can the definition be used in a measurable space?

Thanks and best regards,

Janet

(f.adewusi@aims.edu.gh)

Hi Dirk,

ReplyDeleteI am Adewusi Janet, a research tutor at the African Institute for Mathematical Sciences. This question is from the definition of your posting of " C-extension of a pair of convex polyhedral cones ". Can the definition be used in a measurable space?

Thanks and best regards,

Janet

(f.adewusi@aims.edu.gh)