Tag Archives: Polymath proposals

Possible future Polymath projects (2009, 2021)

What will be our next polymath project? A polymath project (Wikipedia) is a collaboration among mathematicians to solve important and difficult mathematical problems by coordinating many mathematicians to communicate with each other on finding the best route to the solution. … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Open discussion | Tagged , , | 22 Comments

The Polynomial Hirsch Conjecture, a Proposal for Polymath3 (Cont.)

The Abstract Polynomial Hirsch Conjecture A convex polytope is the convex hull of a finite set of points in a real vector space. A polytope can be described as the intersection of a finite number of closed halfspaces. Polytopes have … Continue reading

Posted in Convex polytopes, Open discussion, Open problems | Tagged , | 5 Comments

The Polynomial Hirsch Conjecture: A proposal for Polymath3

This post is continued here.  Eddie Kim and Francisco Santos have just uploaded a survey article on the Hirsch Conjecture. The Hirsch conjecture: The graph of a d-polytope with n vertices  facets has diameter at most n-d. We devoted several … Continue reading

Posted in Convex polytopes, Open discussion, Open problems | Tagged , , , | 38 Comments