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Title: Transitive closure and metric inequality of weighted graphs:detecting protein interaction modules using cliques

Journal Article · · International Journal of Data Mining andBioinformatics
OSTI ID:918813

We study transitivity properties of edge weights in complex networks. We show that enforcing transitivity leads to a transitivity inequality which is equivalent to ultra-metric inequality. This can be used to define transitive closure on weighted undirected graphs, which can be computed using a modified Floyd-Warshall algorithm. We outline several applications and present results of detecting protein functional modules in a protein interaction network.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Director. Office of Science. Biological andEnvironmental Research
DOE Contract Number:
DE-AC02-05CH11231
OSTI ID:
918813
Report Number(s):
LBNL-61579; R&D Project: 442G07; BnR: KP1102010; TRN: US200819%%458
Journal Information:
International Journal of Data Mining andBioinformatics, Vol. 1, Issue 2; Related Information: Journal Publication Date: 2006
Country of Publication:
United States
Language:
English