关键词: 格点巢分形, 渗流, 临界现象, 指数衰减律, 有限分岔图．

Abstract:

This paper will study the percolation model on one kind of lattice fractals(lattice nested fractals), prove that there is no critical phenomenon for this percolation model and give one law of exponent decay. Moreover, it will prove that there is no critical phenomenon for bond percolation model on finite branched graph.

Key words: Lattice nested fractals, Percolation, Critical phenomenon, Law of exponent decay, Finite branched graph