By Evimaria Terzi, Marco Winkler (auth.), Alan Frieze, Paul Horn, Paweł Prałat (eds.)
This publication constitutes the refereed court cases of the eighth overseas Workshop on Algorithms and types for the Web-Graph, WAW 2011, held in Atlanta, GA, in could 2011 - co-located with RSA 2011, the fifteenth overseas convention on Random buildings and Algorithms.
The thirteen revised complete papers awarded including 1 invited lecture have been rigorously reviewed and chosen from 19 submissions. Addressing a wide selection of subject matters relating to the learn of the Web-graph corresponding to theoretical and empirical research, the papers characteristic unique study when it comes to algorithmic and mathematical research in all parts referring to the World-Wide internet with detailed concentration to the view of complicated facts as networks.
Read or Download Algorithms and Models for the Web Graph: 8th International Workshop, WAW 2011, Atlanta, GA, USA, May 27-29, 2011. Proceedings PDF
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Its extension to a set of clusterings I(Cα , Cβ , . . , Cω ) is K K K P (Cα , Cβ , . . , Cω , a, b, . . , z) log P (Cα , Cβ , . . , Cω , a, b, . . , z). a=1 b=1 z=1 For a large number of clusterings or large K this quickly becomes inconvenient. In these cases we order the clusterings by adding new clusterings to the set based on maximizing the minimum pairwise distance to every other clustering currently in the set. This process is seeded with the informationally maximal pair within the set.
Natl. Acad. Sci. USA 103(23), 8577–8582 (2006) 14. : Finding and evaluating community structure in networks. Phys. Rev. E 69, 026113 (2004) 15. : Graph clustering. gov Abstract. We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics, and so allowing graphs with multivariate edges significantly increases modeling power. In this context the clustering problem becomes more challenging. Each edge/metric provides only partial information about the data; recovering full information requires aggregation of all the similarity metrics.
Surprisingly, in a Twitter friendship graph with 112,957 vertices and 481,591 edges, there are 6,912 distinct (α, β)-communities of size 200 among the 45,361 (α, β)-communities returned by the algorithm. Moreover, these (α, β)-communities are neatly categorized into a small number of massively overlapping clusters. Speciﬁcally, the (α, β)-communities from the same cluster have signiﬁcant overlap (> 90%) among them, while the (α, β)-communities from distinct clusters have extremely small (< 5%) pairwise resemblance.