Ranking by Loops: a new approach to categorization

Details Ranking by Loops: a new approach to categorization Ranking by Loops: a new approach to categorization

2008-04-09

arxiv.org/abs/0804.1436v2

Phys. Rev. Lett. 101, 098701 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures, 1 table, corrected misprint

Scientific paper

We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely used to capture the relative importance of the vertices in complex networks. We argue that Loop Ranking is a very appropriate measure to quantify the role of both vertices and edges in the network traffic.

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