Very simple methods for all pairs network flow analysis
SIAM Journal on Computing
On clusterings-good, bad and spectral
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
IEEE Transactions on Knowledge and Data Engineering
Contracted webgraphs: structure mining and scale-freeness
FAW-AAIM'11 Proceedings of the 5th joint international frontiers in algorithmics, and 7th international conference on Algorithmic aspects in information and management
Fully-dynamic hierarchical graph clustering using cut trees
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
Parallel implementations of gusfield's cut tree algorithm
ICA3PP'11 Proceedings of the 11th international conference on Algorithms and architectures for parallel processing - Volume Part I
Modularity-driven clustering of dynamic graphs
SEA'10 Proceedings of the 9th international conference on Experimental Algorithms
Understanding evolving group structures in time-varying networks
Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining
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Algorithms or target functions for graph clustering rarely admit quality guarantees or optimal results in general. Based on properties of minimum-cut trees, a clustering algorithm by Flake et al. does however yield such a provable guarantee. We show that the structure of minimum-s -t -cuts in a graph allows for an efficient dynamic update of minimum-cut trees, and present a dynamic graph clustering algorithm that maintains a clustering fulfilling this quality quarantee, and that effectively avoids changing the clustering. Experiments on real-world dynamic graphs complement our theoretical results.