By C. Lee Giles, Marc Smith, John Yen, Haizheng Zhang

This paintings constitutes the lawsuits of the second one overseas Workshop on Advances in Social community and research, held in Las Vegas, NV, united states in August 2008.

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125. 3 Data We define the blogograph as a directed, unweighted graph representing the communication of the blog network within a fixed time-period. There is a vertex in the blogograph representing each blogger and a directed edge from the author of any comment to the owner of the blog where the comment was made during the observed time period. Parallel edges are not allowed and a comment is ignored if the corresponding edge is already present in the graph. Loops, comments on a bloggers own blog, are ignored as well.

Wl } is called the l-dimensional face of σ. A simplectic complex K is a finite collection of simplices in some Rn satisfying: – If σ ∈ K, then all faces of σ belong to K. – If σ1 , σ2 ∈ K, then either σ1 σ2 = Ø or σ1 and σ2 . σ2 is a common face of σ1 The dimension of K is defined to be −1 if K = Ø and the maximum of the dimensions of K otherwise. An undirected graph can then be viewed as a simplectic complex with a single-element set per vertex and a two-element set per edge. Suppose we are given finite sets X = {x1 , x2 , .

Since the total number of edges is W in G , therefore the expected number of edges between i and j is W · (Wiout /W )(Wjin /W ) = P¯ij , the expected influence between i and j in G. 2 Detecting Community Structure Once we have derived Q, we have to select an algorithm to divide the network into communities that optimize Q. Brandes et al. [3] have shown that the decision version of modularity maximization is NP-complete. Like others [23,17], we use the the leading eigenvector method to obtain the approximate solution.

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