Tag Archives: Eran Nevo

Convex Polytopes: Seperation, Expansion, Chordality, and Approximations of Smooth Bodies

Posted on October 28, 2015 by

I am happy to report on two beautiful results on convex polytopes. One disproves an old conjecture of mine and one proves an old conjecture of mine. Loiskekoski and Ziegler: Simple polytopes without small separators. Does Lipton-Tarjan’s theorem extends to high … Continue reading →

Posted in Combinatorics, Convex polytopes | Tagged , , , , | 1 Comment

Many triangulated three-spheres!

Posted on November 28, 2013 by

The news Eran Nevo and Stedman Wilson have constructed triangulations with n vertices of the 3-dimensional sphere! This settled an old problem which stood open for several decades. Here is a link to their paper How many n-vertex triangulations does the 3 … Continue reading →

Posted in Combinatorics, Convex polytopes, Geometry, Open problems | Tagged , | Leave a comment

Satoshi Murai and Eran Nevo proved the Generalized Lower Bound Conjecture.

Posted on March 23, 2012 by

Satoshi Murai and Eran Nevo have just proved the 1971 generalized lower bound conjecture of McMullen and Walkup, in their  paper On the generalized lower bound conjecture for polytopes and spheres . Let me tell you a little about it. … Continue reading →

Posted in Convex polytopes, Open problems | Tagged , , , , | 2 Comments