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

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.