Combinatorics Seminar

When: Sunday, November 17, 10am
Where: Schreiber 309
Speaker: Rom Pinchasi, Technion
Title: An isoperimetric result for convex sets in the plane


We prove the following conjecture raised recently by Alexey Glazyrin and Filip Moric.

Given a convex set S in the plane and k pairwise disjoint convex sets C_1, ..., C_k, contained in S, then:

perimeter(C_1)+...+perimeter(C_k) <= perimeter(S)+2(k-1)diameter(S).