TWO TYPES OF ECCENTRICITY SUMS AND GEODESICS SUM FOR SIERPIŃSKI GASKET

The aim of this paper is to derive the exact formulas for the sum of three indices, eccentricity, Fermat eccentricity and geodesics number, on the skeleton network of Sierpiński gasket. We will calculate the eccentricity sum and Fermat eccentricity sum of Sierpiński gasket by a particular decomposition strategy. And we study the geodesics sum with the technique of finite types. These three sums can verify their corresponding mean values from discrete perspective and reveal some structure properties of Sierpiński gasket.