Assortative mixing in networks

Details Assortative mixing in networks Assortative mixing in networks

2002-05-20

arxiv.org/abs/cond-mat/0205405v1

Phys. Rev. Lett. 89, 208701 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 table, 1 figure

Scientific paper

10.1103/PhysRevLett.89.208701

A network is said to show assortative mixing if the nodes in the network that have many connections tend to be connected to other nodes with many connections. We define a measure of assortative mixing for networks and use it to show that social networks are often assortatively mixed, but that technological and biological networks tend to be disassortative. We propose a model of an assortative network, which we study both analytically and numerically. Within the framework of this model we find that assortative networks tend to percolate more easily than their disassortative counterparts and that they are also more robust to vertex removal.

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