ASYMPTOTIC FORMULA ON AVERAGE PATH LENGTH OF A SPECIAL NETWORK BASED ON SIERPINSKI CARPET

作者:Xue, Yumei*; Zhou, Dongxue
来源:Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2018, 26(3): 1850039.
DOI:10.1142/S0218348X18500391

摘要

In this paper, we construct a special network based on the construction of the Sierpinski carpet. Using the self-similarity and renewal theorem, we obtain the asymptotic formula for the average path length of our evolving network.