Structure properties and weighted average geodesic distances of the Sierpinski carpet fractal networks

Abstract

Abstract In this paper, we consider the Sierpinski carpet fractal networks G t constructed by the Sierpinski carpet F . Firstly, the structure properties of G t , including degree distribution and clustering coefficient, are studied. Then, the weighted average geodesic distances of the Sierpinski carpet fractal F are analyzed by using the integral of geodesic distance in terms of self-similar measure with respect to the weight vector. Further the weighted average geodesic distances of the Sierpinski carpet fractal networks is obtained.