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On Strongly Connected Digraphs with Bounded Cycle Length (1996)  (Make Corrections)  (12 citations)
Samir Khuller, Balaji Raghavachari, Neal Young
DAMATH: Discrete Applied Mathematics and Combinatorial Operations Research and Computer Science



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Abstract: Given a directed graph G = (V; E), a natural problem is to choose a minimum (Update)


Context of citations to this paper:   More

...strong digraph with at most (1 1 r )n arcs. Furthermore, such a subdigraph can be found in polynomial time. Khuller et at [14, 15] proved that for general digraphs, a variant of the algorithm used in the proof of Theorem 4.2 (contracting cycles which are su#ciently long...

...2 problem is trivial. The minimum SCSS 3 problem can be solved in polynomial time, as shown by Khuller, Raghavachari and Young [14]. However, further improvement in this direction is limited: we show that the minimum SCSS 5 problem is NP hard. In fact, we show that...

Cited by:   More
Approximating Minimum-Size k-Connected Spanning Subgraphs.. - Cheriyan, Thurimella (2000)   (Correct)
Approximating the Minimum Equivalent Digraph - Khuller, RAGHAVACHARI, YOUNG (1995)   (Correct)
Spanning k-arc-strong Subdigraphs with few arcs in.. - Bang-Jensen, Huang, Yeo (2001)   (Correct)

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9:   An algorithm for finding a minimal equivalent graph of a digraph (context) - Hsu - 1975
9:   The Transitive Reduction of a Directed Graph (context) - Aho, Garey et al. - 1972
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BibTeX entry:   (Update)

S. Khuller, B. Raghavachari and N. Young, On strongly connected digraphs with bounded cycle length, Disc. Applied Math. 69 (1996) 281-289. http://citeseer.ist.psu.edu/khuller96strongly.html   More

@article{ khuller96strongly,
    author = "Khuller and Raghavachari and Young",
    title = "On Strongly Connected Digraphs with Bounded Cycle Length",
    journal = "DAMATH: Discrete Applied Mathematics and Combinatorial Operations Research and Computer Science",
    volume = "69",
    year = "1996",
    url = "citeseer.ist.psu.edu/khuller96strongly.html" }
Citations (may not include all citations):
4212   Computers and Intractability: A guide to the theory of NP-co.. (context) - Garey, Johnson - 1979
185   algorithm for maximum matching in bipartite graphs (context) - Hopcroft, Karp - 1973
145   Easy problems for tree-decomposable graphs - Arnborg, Lagergren et al. - 1991  ACM   DBLP
62   The transitive reduction of a directed graph (context) - Aho, Garey et al. - 1972
38   Fundamental Algorithms (context) - Knuth - 1973
13   Approximating the minimum equivalent digraph - Khuller, Raghavachari et al. - 1995  ACM   DBLP
11   An algorithm for finding a minimal equivalent graph of a dig.. (context) - Hsu - 1975  ACM   DBLP
6   An algorithm for a minimum cover of a graph (context) - Norman, Rabin - 1959
5   An algorithm for finding the minimum equivalent graph of a d.. (context) - Moyles, Thompson - 1969



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