Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 891267, 13 pages
Research Article

A Study on the Relationship between Connecting Different Types of Nodes and Disassortativity by Degree

Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China

Received 14 April 2010; Revised 7 July 2010; Accepted 20 September 2010

Academic Editor: Tamas Kalmar-Nagy

Copyright © 2010 Chengdong Dong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates how to change the disassortativity of the whole network by connecting nodes of different types in two communities. A model connecting two multi-center networks is studied to see if analytical results are achievable. There are three main methods to connect two multi-center subnetworks depending on whether the connecting nodes are centers: (1) connect the centers of one sub-network to noncenter nodes of the other sub-network, (2) connect the centers of the two sub-networks together, and (3) connect non-center nodes of the two sub-networks. The results show that the disassortative property of a single multicenter network can be maintained in scenarios (1) and (2) above, but the disassortativity is changed in (3). In conclusion, either assortativity or disassortativity is achievable by connecting nodes with different degree properties in an ideal network constructed from two communities with similar network topology.