Local symmetries in complex networks
2007 (English)In: Journal of the Korean Physical Society, ISSN 0374-4884, Vol. 50, no 1, 300-303 p.Article in journal (Refereed) Published
Symmetry-invariance to certain operators-is a fundamental concept in many branches of physics. We propose ways to measure symmetric properties of vertices, and their surroundings, in networks. To be stable to the randomness inherent in many complex networks, we consider measures that are continuous rather than dichotomous. The main operator we suggest is permutations of paths of a certain length leading out from a vertex. If these paths are more similar (in some sense) than expected, the vertex is a local center of symmetry in the network. We discuss different precise definitions based on this idea and give examples how different symmetry coefficients can be applied to protein interaction networks.
Place, publisher, year, edition, pages
2007. Vol. 50, no 1, 300-303 p.
complex networks, symmetry
IdentifiersURN: urn:nbn:se:kth:diva-16323ISI: 000243481700033OAI: oai:DiVA.org:kth-16323DiVA: diva2:334365
QC 201005252010-08-052010-08-05Bibliographically approved