By Frank van Ham

ISBN-10: 3639107004

ISBN-13: 9783639107005

Modern-day desktops let us trap huge, immense datasets. in lots of situations this information represents a community of connections among entities, such friendship styles in social networks, communique networks or organic pathways. absolutely examining those large community datasets is demanding on a few degrees and plenty of difficulties stay unsolved. This booklet addresses the matter from the point of view of knowledge visualization, which makes use of pcs to generate interactive pictures of the information below research. It offers an outline of the state-of-the-art, describes power pitfalls and information a quantity attainable strategies for various software components.

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2), allowing the user to see the area near the origin of the hyperbolic space in closeup. Navigation can easily be implemented by translating the graph in hyperbolic space and re-projecting the structure. 3D layouts Another widely used method in visualization to increase the amount of display space is the use of interactive 3D graphics. The use of a three-dimensional instead of a twodimensional visualization space seems to have a number of advantages: • 3D offers more visualization space. By adding an extra dimension to the visualization space, we can space items farther apart or use the extra dimension to display additional information.

This makes it hard for a user to construct and maintain a consistent mental map of the entire structure. Another problem with classical force directed layout models is that they require O(N 2 ) time per iteration due to the node-node repulsions. Since the total number of iterations is estimated to be proportional to the size of the graph, this amounts to a total running time of O(N 3 ). Improvements have been made by using methods from N-body simulations [20, 168, 137], decreasing the time per iteration to O(NLogN) without notably affecting the quality of the layout.

One of the first approaches [73] computes a random walk of length |N|2 and extracts all the cycles in the walk. 2 Graph clustering 31 is computed that is based on the commonality of the sets of nodes that are visited in cycles originating at i and j respectively. Nodes with S(i, j) > 0 are then merged into a single cluster. This method is computationally expensive due to the explicit simulation of the random walk. The authors of [85] take a similar approach but compute probabilities deterministi≤k (i) as the vector whose jth element contains the probability that cally.

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Interactive Visualization of Large Networks: Technical challenges and practical applications by Frank van Ham

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