Several mathematical methods for identifying crucial nodes in networks
WenJun Zhang
Network Biology
2220-8879
2012
2
121-126
12/2012
International Academy of Ecology and Environmental Sciences
networks
crucial nodes
identification
node perturbation
network dynamics
network analysis
crucial links (connections)
mathematical methods
Crucial nodes in a network refer to those nodes that their existence is so important in preserving topological structure of the network and they independently determine the network structure. In this study I introduced and
proposed several mathematical methods for identifying crucial nodes in networks. They fall into three categories, node perturbation, network analysis, and network dynamics. Node perturbation methods include
adjacency matrix index, degree or flow change index, node perturbation index, etc. Network dynamics methods include network evolution modeling, etc. Network analysis methods include node degree, criticality
index, branch flourishing index, node importance index, etc. Advantages and advantages of these methods were discussed. Finally, I suggested that some of these methods may also be used to identify crucial links
(connections) in networks. In this case, the change of a link refers to presence/absence of a link, or change of flow in the link, etc.
DOI 10.0000/issn-2220-8879-networkbiology-2012-v2-0014
http://www.iaees.org/publications/journals/nb/articles/2012-2(4)/mathematical-methods-for-identifying-crucial-nodes-in-networks.pdf