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Multiway Cuts in Directed and Node Weighted Graphs (1994)  (Make Corrections)  (26 citations)
Naveen Garg, Vijay V. Vazirani, Mihalis Yannakakais
Automata, Languages and Programming



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Abstract: this paper we consider node multiway cuts; the problem of computing a minimum weight node multiway cut is known to be NP-hard and max SNP-hard [1]. It turns out that the approximation algorithm in [2] for edge multiway cuts does not extend to the node multiway cut problem. Let us give a reason for this. Define an isolating cut for terminal s i to be a cut that separates s i from the rest of the terminals. A minimum isolating cut for s i can be computed in polynomial time by identifying the... (Update)

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BibTeX entry:   (Update)

N. Garg, V. V. Vazirani, and M. Yannakakis, \Multiway Cuts in Directed and Node Weighted Graphs," manuscript. Preliminary version appeared in Proc. 21 st ICALP, Lecture Notes in Computer Science 820, Springer-Verlag, 1994, 487-498. http://citeseer.ist.psu.edu/garg94multiway.html   More

@inproceedings{ garg94multiway,
    author = "Naveen Garg and Vijay V. Vazirani and Mihalis Yannakakis",
    title = "Multiway Cuts in Directed and Node Weighted Graphs",
    booktitle = "Automata, Languages and Programming",
    pages = "487-498",
    year = "1994",
    url = "citeseer.ist.psu.edu/garg94multiway.html" }
Citations (may not include all citations):
55   The complexity of multiway cuts (context) - Dahlhaus, Johnson et al. - 1992
17   cuts within twice the optimal (context) - Saran, Vazirani - 1990
10   Polynomial algorithm for the k-cut problem (context) - Goldschmidt, Hochbaum - 1988
7   Cutting and partitioning a graph after a fixed pattern (context) - Yannakakis, Kanellakis et al. - 1983
4   Bounds on the max-flow min-cut ratio for directed multicommo.. - Klein, Plotkin et al. - 1993
1   A feedback edge set in a directed graph is a set of edges su.. (context) - Cunningham, multiterminal et al. - 1991



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