Graph partitioning based on link distributions

  • Authors:
  • Bo Long;Mark Zhang;Philip S. Yu

  • Affiliations:
  • Computer Science Dept., SUNY Binghamton, Binghamton, NY;Computer Science Dept., SUNY Binghamton, Binghamton, NY;IBM Watson Research Center, Hawthorne, NY

  • Venue:
  • AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
  • Year:
  • 2007

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Abstract

Existing graph partitioning approaches are mainly based on optimizing edge cuts and do not take the distribution of edge weights (link distribution) into consideration. In this paper, we propose a general model to partition graphs based on link distributions. This model formulates graph partitioning under a certain distribution assumption as approximating the graph affinity matrix under the corresponding distortion measure. Under this model, we derive a novel graph partitioning algorithm to approximate a graph affinity matrix under various Bregman divergences, which correspond to a large exponential family of distributions. We also establish the connections between edge cut objectives and the proposed model to provide a unified view to graph partitioning.