... Bj,j and Cn,n are relatively prime, we can choose integers Cj,n and Bj,n such that this equation is satisfied Doing this step by step for all j = n − 1, n − 2, , 1, we finally get B and C such that ... vertices of V by P1 , , Pk+3 Apply the induction hypothesis on the polygon P1 P2 Pk ; in this triangulation each of vertices P1 , , Pk belong to an odd number of triangles, except two ... vertices if n is not divisible by Now add triangles P1 Pk Pk+2 , Pk Pk+1 Pk+2 and P1 Pk+2 Pk+3 This way we introduce two new triangles at vertices P1 and Pk so parity is preserved The vertices...