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

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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.

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Ding, Chris; He, Xiaofeng; Xiong, Hui; Peng, Hanchuan & Holbrook,Stephen R. June 2, 2006.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 33 times . More information about this article can be viewed below.

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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.

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  • Journal Name: International Journal of Data Mining andBioinformatics; Journal Volume: 1; Journal Issue: 2; Related Information: Journal Publication Date: 2006

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  • Report No.: LBNL--61579
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 918813
  • Archival Resource Key: ark:/67531/metadc888778

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • June 2, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Sept. 25, 2017, 3:53 p.m.

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Ding, Chris; He, Xiaofeng; Xiong, Hui; Peng, Hanchuan & Holbrook,Stephen R. Transitive closure and metric inequality of weighted graphs:detecting protein interaction modules using cliques, article, June 2, 2006; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc888778/: accessed December 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.