The Relationship between Random Divergence Mechanisms and Disassortative Mixing Property in Biological Networks

In the theory of biological evolution, duplication and divergence are two intrinsic mechanisms. In this article, we mainly study how divergence mechanisms influence disassortative mixing property in biological networks. We study several kinds of random divergence mechanisms, such as random node deletion divergence mechanism, random edge deletion divergence mechanism, random edge addition divergence mechanism and random edge rewiring divergence mechanism. Our results show that both random node deletion divergence mechanism and random edge deletion divergence mechanism will not impact on disassortative mixing property strongly; while random edge addition divergence mechanism and random edge rewiring divergence mechanism will neutralize disassortative mixing property.