We investigate the structure of the Minkowski sum of standard simplices in R. In particular, we investigate the one-dimensional structure, the vertices, their degrees and the edges in the Minkowski sum polytope. 2000 MSC: 52B05, 52B11, 05C07.

Let A be a finite nonempty set of integers. An asymptotic estimate of several dilates sum size was obtained by Bukh. The unique known exact bound concerns the sum |A + k ·A|, where k is a prime and |A| is large. In its full generality, this bound is due to Cilleruelo, Serra and the first author. Let k be an odd prime and assume that |A| > 8kk. A corollary to our main result states that |2 · A +...

The pseudo-first order rate constants and activation parameters have been determined using two methods, constant-temperature kinetic (CTK) and variable temperature kinetic (VTK), for the oxidative addition reactions of [Pt2Me2(C^N)2(µ-dppf)], (1a, C^N = deprotonated 2-phenylpyridine (ppy); 1b, C^N = deprotonated benzo[h]quinoline (bhq)) with MeI. The results obtained from VTK method are in agre...