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Volumn 28, Issue 1, 2000, Pages 16-36

A linear time algorithm for the arc disjoint menger problem in planar directed graphs

Author keywords

Disjoint paths; Graph algorithms; Planar graphs

Indexed keywords


EID: 8844245709     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004530010029     Document Type: Article
Times cited : (13)

References (13)
  • 2
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    • Harold N. Gabow and Robert E. Tarjan. A linear-time algorithm for a special case of disjoint set union. J. Comput. System Sci., 30:209-221, 1985.
    • (1985) J. Comput. System Sci. , vol.30 , pp. 209-221
    • Gabow, H.N.1    Tarjan, R.E.2
  • 4
    • 0042791001 scopus 로고
    • Maximum flows in planar networks
    • Alon Itai and Yossi Shiloach. Maximum flows in planar networks. SIAM J. Comput., 8:135-150, 1979.
    • (1979) SIAM J. Comput. , vol.8 , pp. 135-150
    • Itai, A.1    Shiloach, Y.2
  • 6
    • 0348084915 scopus 로고
    • The lattice structure of flow in planar graphs
    • Samir Khuller, Joseph (Seffi) Naor, and Philip Klein. The lattice structure of flow in planar graphs. SIAM J. Discrete Math., 6(3):477-490, 1993.
    • (1993) SIAM J. Discrete Math. , vol.6 , Issue.3 , pp. 477-490
    • Khuller, S.1    Naor, J.2    Klein, P.3
  • 7
    • 0031212053 scopus 로고    scopus 로고
    • Faster shortest-path algorithms for planar graphs
    • Philip Klein, Satish B. Rao, Monika Rauch, and Sairam Subramanian. Faster shortest-path algorithms for planar graphs. J. Comput. System Sci., 55(1):3-23, 1997.
    • (1997) J. Comput. System Sci. , vol.55 , Issue.1 , pp. 3-23
    • Klein, P.1    Rao, S.B.2    Rauch, M.3    Subramanian, S.4
  • 8
    • 0002439168 scopus 로고
    • Zur allgemeinen Kurventheorie
    • Karl Menger. Zur allgemeinen Kurventheorie. Fund. Math., 10:95-115, 1927.
    • (1927) Fund. Math. , vol.10 , pp. 95-115
    • Menger, K.1
  • 9
    • 0043161647 scopus 로고
    • Efficient algorithms for disjoint paths in planar graphs
    • William Cook, Laszlo Lovász, and Paul Seymour, editors, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, RI
    • Heike Ripphausen-Lipa, Dorothea Wagner, and Karsten Weihe. Efficient algorithms for disjoint paths in planar graphs. In William Cook, Laszlo Lovász, and Paul Seymour, editors, Combinatorial Optimization: Papers from the DIMACS special year. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, volume 20, pages 295-354. American Mathematical Society, Providence, RI, 1995.
    • (1995) Combinatorial Optimization: Papers from the DIMACS Special Year , vol.20 , pp. 295-354
    • Ripphausen-Lipa, H.1    Wagner, D.2    Weihe, K.3
  • 10
    • 0043161651 scopus 로고    scopus 로고
    • The vertex-disjoint Menger problem in planar graphs
    • Heike Ripphausen-Lipa, Dorothea Wagner, and Karsten Weihe. The vertex-disjoint Menger problem in planar graphs. SIAM J. Comput., 26:331-349, 1997.
    • (1997) SIAM J. Comput. , vol.26 , pp. 331-349
    • Ripphausen-Lipa, H.1    Wagner, D.2    Weihe, K.3
  • 12
    • 0347419644 scopus 로고    scopus 로고
    • Edge-disjoint (s, t)-paths in undirected planar graphs in linear time
    • Karsten Weihe. Edge-disjoint (s, t)-paths in undirected planar graphs in linear time. J. Algorithms, 23:121-138, 1997.
    • (1997) J. Algorithms , vol.23 , pp. 121-138
    • Weihe, K.1
  • 13
    • 51249167691 scopus 로고
    • A linear time algorithm for edge-disjoint paths in planar graphs
    • Dorothea Wagner and Karsten Weihe. A linear time algorithm for edge-disjoint paths in planar graphs. Combinatorica, 15:135-150, 1995.
    • (1995) Combinatorica , vol.15 , pp. 135-150
    • Wagner, D.1    Weihe, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.