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Volumn 23, Issue 4, 1999, Pages 302-340

Output-sensitive reporting of disjoint paths

Author keywords

Biconnected graph; Coloring; Connectivity; Disjoint paths; Graph drawing; Triconnected graph

Indexed keywords


EID: 0013362396     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009264     Document Type: Article
Times cited : (61)

References (56)
  • 1
    • 0008999702 scopus 로고    scopus 로고
    • A better heuristic for orthogonal graph drawings
    • T. Biedl and G. Kant. A better heuristic for orthogonal graph drawings. Comput. Geom. Theory Appl., 9:159-180, 1998.
    • (1998) Comput. Geom. Theory Appl. , vol.9 , pp. 159-180
    • Biedl, T.1    Kant, G.2
  • 3
    • 0041959171 scopus 로고
    • The order dimension of convex polytopes
    • G. R. Brightwell and W. T. Trotter. The order dimension of convex polytopes. SIAM J. Discrete Math., 6(2):230-245, 1993.
    • (1993) SIAM J. Discrete Math. , vol.6 , Issue.2 , pp. 230-245
    • Brightwell, G.R.1    Trotter, W.T.2
  • 5
    • 33746367951 scopus 로고
    • Finding nonseparating induced cycles and independent spanning trees in 3-connected graphs
    • J. Cheriyan and S. N. Maheshwari. Finding nonseparating induced cycles and independent spanning trees in 3-connected graphs. J. Algorithms, 9:507-537, 1988.
    • (1988) J. Algorithms , vol.9 , pp. 507-537
    • Cheriyan, J.1    Maheshwari, S.N.2
  • 6
    • 0022010454 scopus 로고
    • A linear algorithm for embedding planar graphs using PQ-trees
    • N. Chiba, T. Nishizeki, S. Abe, and T. Ozawa. A linear algorithm for embedding planar graphs using PQ-trees. J. Comput. System Sco., 30(1):54-76, 1985.
    • (1985) J. Comput. System Sco. , vol.30 , Issue.1 , pp. 54-76
    • Chiba, N.1    Nishizeki, T.2    Abe, S.3    Ozawa, T.4
  • 8
    • 0031515739 scopus 로고    scopus 로고
    • Convex grid drawings of 3-connected planar graphs
    • M. Chrobak and G. Kant. Convex grid drawings of 3-connected planar graphs. Internat. J. Comput. Geom. Appl., 7(3):211-223, 1997.
    • (1997) Internat. J. Comput. Geom. Appl. , vol.7 , Issue.3 , pp. 211-223
    • Chrobak, M.1    Kant, G.2
  • 9
    • 0040408423 scopus 로고    scopus 로고
    • Minimum-width grid drawings of plane graphs
    • M. Chrobak and S. Nakano. Minimum-width grid drawings of plane graphs. Comput. Geom. Theory Appl., 11(1):29-54, 1998.
    • (1998) Comput. Geom. Theory Appl. , vol.11 , Issue.1 , pp. 29-54
    • Chrobak, M.1    Nakano, S.2
  • 12
    • 0002128850 scopus 로고
    • How to draw a planar graph on a grid
    • H. de Fraysseix, J. Pach, and R. Pollack. How to draw a planar graph on a grid. Combinatorica, 10(1):41-51, 1990.
    • (1990) Combinatorica , vol.10 , Issue.1 , pp. 41-51
    • De Fraysseix, H.1    Pach, J.2    Pollack, R.3
  • 15
    • 1542577522 scopus 로고    scopus 로고
    • On-line maintenance of triconnected components with SPQR-trees
    • G. Di Battista and R. Tamassia. On-line maintenance of triconnected components with SPQR-trees. Algorithmica, 15(3):302-318, 1996.
    • (1996) Algorithmica , vol.15 , Issue.3 , pp. 302-318
    • Di Battista, G.1    Tamassia, R.2
  • 16
    • 0000428115 scopus 로고    scopus 로고
    • On-line planarity testing
    • G. Di Battista and R. Tamassia. On-line planarity testing. SIAM J. Comput., 25(5):956-997, 1996.
    • (1996) SIAM J. Comput. , vol.25 , Issue.5 , pp. 956-997
    • Di Battista, G.1    Tamassia, R.2
  • 17
    • 0001769095 scopus 로고
    • Edge-disjoint branchings
    • R. Rustin, editor, Algorithmics Press, New York
    • J. Edmonds. Edge-disjoint branchings. In R. Rustin, editor, Combinatorial Algorithms, pages 91-96. Algorithmics Press, New York, 1972.
    • (1972) Combinatorial Algorithms , pp. 91-96
    • Edmonds, J.1
  • 18
    • 0000682065 scopus 로고
    • Network flow and testing graph connectivity
    • S. Even and R. E. Tarjan. Network flow and testing graph connectivity. SIAM J. Comput., 4:507-518, 1975.
    • (1975) SIAM J. Comput. , vol.4 , pp. 507-518
    • Even, S.1    Tarjan, R.E.2
  • 20
    • 0001567493 scopus 로고
    • On straight lines representation of planar graphs
    • I. Fary. On straight lines representation of planar graphs. Acta Sci. Math. Szeged., 11:229-233, 1948.
    • (1948) Acta Sci. Math. Szeged. , vol.11 , pp. 229-233
    • Fary, I.1
  • 21
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading, MA
    • F. Harary. Graph Theory. Addison-Wesley, Reading, MA, 1969.
    • (1969) Graph Theory
    • Harary, F.1
  • 22
    • 84957574307 scopus 로고
    • Regular edge labelings and drawings of planar graphs
    • R. Tamassia and I. G. Tollis, editors, Springer-Verlag, Berlin
    • X. He and M.-Y. Kao. Regular edge labelings and drawings of planar graphs. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 96-103. Springer-Verlag, Berlin, 1995.
    • (1995) Graph Drawing (Proc. GD '94), Volume 894 of Lecture Notes in Computer Science , vol.894 , pp. 96-103
    • He, X.1    Kao, M.-Y.2
  • 23
    • 0001243769 scopus 로고
    • Dividing a graph into triconnected components
    • J. Hopcroft and R. E. Tarjan. Dividing a graph into triconnected components. SIAM J. Comput., 2(3):135-158, 1973.
    • (1973) SIAM J. Comput. , vol.2 , Issue.3 , pp. 135-158
    • Hopcroft, J.1    Tarjan, R.E.2
  • 24
    • 0038183140 scopus 로고
    • Independent trees in graphs
    • A. Huck. Independent trees in graphs. Graphs Combin., 10(1):29-45, 1994.
    • (1994) Graphs Combin. , vol.10 , Issue.1 , pp. 29-45
    • Huck, A.1
  • 25
    • 84987554964 scopus 로고
    • Disproof of a conjecture about independent branchings in k-connected directed graphs
    • A. Huck. Disproof of a conjecture about independent branchings in k-connected directed graphs. J. Graph Theory, 20(2):235-239, 1995.
    • (1995) J. Graph Theory , vol.20 , Issue.2 , pp. 235-239
    • Huck, A.1
  • 26
    • 85034138988 scopus 로고    scopus 로고
    • Independent trees and branchings in planar multigraphs
    • to appear
    • A. Huck. Independent trees and branchings in planar multigraphs. Graphs Combin., to appear.
    • Graphs Combin.
    • Huck, A.1
  • 27
    • 0002041775 scopus 로고
    • The multi-tree approach to reliability in distributed networks
    • A. Itai and M. Rodeh. The multi-tree approach to reliability in distributed networks. Inform. and Comput., 79(1):43-59, 1988.
    • (1988) Inform. and Comput. , vol.79 , Issue.1 , pp. 43-59
    • Itai, A.1    Rodeh, M.2
  • 28
    • 0016426544 scopus 로고
    • On the vector representation of the reachability in planar directed graphs
    • T. Kameda. On the vector representation of the reachability in planar directed graphs. Inform. Process. Lett., 3(3):75-77, 1975.
    • (1975) Inform. Process. Lett. , vol.3 , Issue.3 , pp. 75-77
    • Kameda, T.1
  • 30
    • 0002648128 scopus 로고    scopus 로고
    • Drawing planar graphs using the canonical ordering
    • Special Issue on Graph Drawing, G. Di Battista and R. Tamassia, editors
    • G. Kant. Drawing planar graphs using the canonical ordering. Algorithmica, 16(1):4-32, 1996. Special Issue on Graph Drawing, G. Di Battista and R. Tamassia, editors.
    • (1996) Algorithmica , vol.16 , Issue.1 , pp. 4-32
    • Kant, G.1
  • 32
    • 0038501433 scopus 로고
    • Optimal parallel algorithms for straight-line grid embeddings of planar graphs
    • M.-Y. Kao, M. Fürer, X. He, and B. Raghavachari. Optimal parallel algorithms for straight-line grid embeddings of planar graphs. SIAM J. Discrete Math., 7(4):632-646, 1994.
    • (1994) SIAM J. Discrete Math. , vol.7 , Issue.4 , pp. 632-646
    • Kao, M.-Y.1    Fürer, M.2    He, X.3    Raghavachari, B.4
  • 33
    • 0009046907 scopus 로고
    • Planar lattices
    • D. Kelly and I. Rival. Planar lattices. Canad. J. Math., 27(3):636-665, 1975.
    • (1975) Canad. J. Math. , vol.27 , Issue.3 , pp. 636-665
    • Kelly, D.1    Rival, I.2
  • 34
    • 0026895284 scopus 로고
    • On independent spanning trees
    • S. Khuller and B. Schieber. On independent spanning trees. Inform. Process. Lett., 42(6):321-323, 1992.
    • (1992) Inform. Process. Lett. , vol.42 , Issue.6 , pp. 321-323
    • Khuller, S.1    Schieber, B.2
  • 36
    • 15444367043 scopus 로고
    • A linear-time algorithm for finding a sparse k -connected spanning subgraph of a k-connected graph
    • H. Nagamochi and T. Ibaraki. A linear-time algorithm for finding a sparse k -connected spanning subgraph of a k-connected graph. Algorithmica, 7:583-596, 1992.
    • (1992) Algorithmica , vol.7 , pp. 583-596
    • Nagamochi, H.1    Ibaraki, T.2
  • 37
    • 0024715606 scopus 로고
    • Fully dynamic point location in a monotone subdivision
    • F. P. Preparata and R. Tamassia. Fully dynamic point location in a monotone subdivision. SIAM J. Comput., 18:811-830, 1989.
    • (1989) SIAM J. Comput. , vol.18 , pp. 811-830
    • Preparata, F.P.1    Tamassia, R.2
  • 38
    • 0043161651 scopus 로고    scopus 로고
    • The vertex-disjoint Menger problem in planar graphs
    • H. Ripphausen-Lipa, D. Wagner, and K. Weihe. The vertex-disjoint Menger problem in planar graphs. SIAM J. Comput., 26(2):331-349, 1997.
    • (1997) SIAM J. Comput. , vol.26 , Issue.2 , pp. 331-349
    • Ripphausen-Lipa, H.1    Wagner, D.2    Weihe, K.3
  • 39
    • 0000973844 scopus 로고
    • Rectilinear planar layouts and bipolar orientations of planar graphs
    • P. Rosenstiehl and R. E. Tarjan. Rectilinear planar layouts and bipolar orientations of planar graphs. Discrete Comput. Geom., 1(4):343-353, 1986.
    • (1986) Discrete Comput. Geom. , vol.1 , Issue.4 , pp. 343-353
    • Rosenstiehl, P.1    Tarjan, R.E.2
  • 40
    • 0039719277 scopus 로고
    • Planar graphs and poset dimension
    • W. Schnyder. Planar graphs and poset dimension. Order, 5:323-343, 1989.
    • (1989) Order , vol.5 , pp. 323-343
    • Schnyder, W.1
  • 42
    • 0013410689 scopus 로고
    • Convex embeddings of 3-connected plane graphs
    • W. Schnyder and W. T. Trotter. Convex embeddings of 3-connected plane graphs. Abstracts Amer. Math. Soc., 13(5):502, 1992.
    • (1992) Abstracts Amer. Math. Soc. , vol.13 , Issue.5 , pp. 502
    • Schnyder, W.1    Trotter, W.T.2
  • 45
    • 0030371627 scopus 로고    scopus 로고
    • On-line planar graph embedding
    • R. Tamassia. On-line planar graph embedding. J. Algorithms, 21(2):201-239, 1996.
    • (1996) J. Algorithms , vol.21 , Issue.2 , pp. 201-239
    • Tamassia, R.1
  • 46
    • 0039844849 scopus 로고
    • A unified approach to visibility representations of planar graphs
    • R. Tamassia and I. G. Tollis. A unified approach to visibility representations of planar graphs. Discrete Comput. Geom., 1(4):321-341, 1986.
    • (1986) Discrete Comput. Geom. , vol.1 , Issue.4 , pp. 321-341
    • Tamassia, R.1    Tollis, I.G.2
  • 48
    • 0026204776 scopus 로고
    • Parallel transitive closure and point location in planar structures
    • R. Tamassia and J. S. Vitter. Parallel transitive closure and point location in planar structures. SIAM J. Comput., 20(4):708-725, 1991.
    • (1991) SIAM J. Comput. , vol.20 , Issue.4 , pp. 708-725
    • Tamassia, R.1    Vitter, J.S.2
  • 49
    • 0020807071 scopus 로고
    • A faster algorithm for finding edge-disjoint branchings
    • P. Tong and E. L. Lawler. A faster algorithm for finding edge-disjoint branchings. Inform. Process. Lett., 17(2):73-76, 1983.
    • (1983) Inform. Process. Lett. , vol.17 , Issue.2 , pp. 73-76
    • Tong, P.1    Lawler, E.L.2
  • 50
    • 84963109876 scopus 로고
    • Convex representations of graphs
    • W. T. Tutte. Convex representations of graphs. Proc. London Math. Soc., 10(38):304-320, 1960.
    • (1960) Proc. London Math. Soc. , vol.10 , Issue.38 , pp. 304-320
    • Tutte, W.T.1
  • 51
    • 84962795554 scopus 로고
    • How to draw a graph
    • W. T. Tutte. How to draw a graph. Proc. London Math. Soc., 13(52):743-768, 1963.
    • (1963) Proc. London Math. Soc. , vol.13 , Issue.52 , pp. 743-768
    • Tutte, W.T.1
  • 53
    • 0026626071 scopus 로고
    • Maintaining bridge-connected and biconnected components on-line
    • J. Westbrook and R. E. Tarjan. Maintaining bridge-connected and biconnected components on-line. Algorithmica, 7(5/6):433-464, 1992.
    • (1992) Algorithmica , vol.7 , Issue.5-6 , pp. 433-464
    • Westbrook, J.1    Tarjan, R.E.2
  • 54
    • 84986468106 scopus 로고
    • Vertex-disjoint paths and edge-disjoint branchings in directed graphs
    • R. W. Whitty. Vertex-disjoint paths and edge-disjoint branchings in directed graphs. J. Graph Theory, 11(3):349-358, 1987.
    • (1987) J. Graph Theory , vol.11 , Issue.3 , pp. 349-358
    • Whitty, R.W.1
  • 56
    • 84986467010 scopus 로고
    • Three tree-paths
    • A. Zehavi and A. Itai. Three tree-paths. J. Graph Theory, 13(2): 175-188, 1989.
    • (1989) J. Graph Theory , vol.13 , Issue.2 , pp. 175-188
    • Zehavi, A.1    Itai, A.2


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