again a polyhedra problem
Source: Romanian IMO TST 2005 - day 5, problem 4
April 24, 2005
combinatorics proposedcombinatorics
Problem Statement
We consider a polyhedra which has exactly two vertices adjacent with an odd number of edges, and these two vertices are lying on the same edge.
Prove that for all integers there exists a face of the polyhedra with a number of sides not divisible by .