메뉴 건너뛰기




Volumn 29, Issue 2, 2004, Pages 117-133

How to draw the minimum cuts of a planar graph

Author keywords

Cactus representation; Clustered graphs; Graph drawing; Minimum cuts; Planar graphs

Indexed keywords


EID: 4344702381     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2004.01.008     Document Type: Article
Times cited : (9)

References (26)
  • 4
    • 84949206574 scopus 로고    scopus 로고
    • A linear time algorithm to recognize clustered planar graphs and its parallelization
    • C.L. Lucchesi, & A.V. Moura. Lecture Notes in Computer Science, Berlin: Springer
    • Dahlhaus E. A linear time algorithm to recognize clustered planar graphs and its parallelization. Lucchesi C.L., Moura A.V. Proceedings of the 3rd Latin American Symposium on Theoretical Informatics (LATIN '98). Lecture Notes in Computer Science. vol. 1380:1998;239-248 Springer, Berlin.
    • (1998) Proceedings of the 3rd Latin American Symposium on Theoretical Informatics (LATIN '98) , vol.1380 , pp. 239-248
    • Dahlhaus, E.1
  • 5
    • 0002314896 scopus 로고
    • On the structure of a family of minimal weighted cuts in a graph
    • A. Pridman. Nauka. (in Russian)
    • Dinitz Y., Karzanov A.V., Lomonosov M. On the structure of a family of minimal weighted cuts in a graph. Pridman A. Studies in Discrete Optimization. 1976;290-306 Nauka. (in Russian).
    • (1976) Studies in Discrete Optimization , pp. 290-306
    • Dinitz, Y.1    Karzanov, A.V.2    Lomonosov, M.3
  • 6
    • 0004631833 scopus 로고
    • A 2-level cactus model for the system of minimum and minimum+1 edge-cuts in a graph and its incremental maintenance
    • ACM, The Association for Computing Machinery
    • Dinitz Y., Nutov Z. A 2-level cactus model for the system of minimum and minimum+1 edge-cuts in a graph and its incremental maintenance. Proceedings of the 27th Annual ACM Symposium on the Theory of Computing (STOC '95). 1995;509-518 ACM, The Association for Computing Machinery.
    • (1995) Proceedings of the 27th Annual ACM Symposium on the Theory of Computing (STOC '95) , pp. 509-518
    • Dinitz, Y.1    Nutov, Z.2
  • 7
    • 84867962052 scopus 로고    scopus 로고
    • Planarity-preserving clustering and embedding for large planar graphs
    • Duncan C., Goodrich M.T., Kobourov S.G. Planarity-preserving clustering and embedding for large planar graphs. Computational Geometry. 24:(2):2003;95-114.
    • (2003) Computational Geometry , vol.24 , Issue.2 , pp. 95-114
    • Duncan, C.1    Goodrich, M.T.2    Kobourov, S.G.3
  • 9
    • 84957692275 scopus 로고    scopus 로고
    • Multilevel visualization of clustered graphs
    • S.C. North. Lecture Notes in Computer Science, Berlin: Springer
    • Eades P., Feng Q. Multilevel visualization of clustered graphs. North S.C. Proceedings of the 4th International Symposium on Graph Drawing (GD '96). Lecture Notes in Computer Science. vol. 1190:1996;101-112 Springer, Berlin.
    • (1996) Proceedings of the 4th International Symposium on Graph Drawing (GD '96) , vol.1190 , pp. 101-112
    • Eades, P.1    Feng, Q.2
  • 10
    • 0001823466 scopus 로고    scopus 로고
    • Straight-line drawing algorithms for hierarchical graphs and clustered graphs
    • S.C. North. Lecture Notes in Computer Science, Berlin: Springer
    • Eades P., Feng Q., Lin X. Straight-line drawing algorithms for hierarchical graphs and clustered graphs. North S.C. Proceedings of the 4th International Symposium on Graph Drawing (GD '96). Lecture Notes in Computer Science. vol. 1190:1996;146-157 Springer, Berlin.
    • (1996) Proceedings of the 4th International Symposium on Graph Drawing (GD '96) , vol.1190 , pp. 146-157
    • Eades, P.1    Feng, Q.2    Lin, X.3
  • 12
    • 0001823466 scopus 로고    scopus 로고
    • Straight-line drawing algorithms for hierarchical graphs and clustered graphs
    • Department of Computer Science and Software Engineering, University of Newcastle, Australia
    • Eades P., Nagamochi H., Feng Q. Straight-line drawing algorithms for hierarchical graphs and clustered graphs, Technical Report 98-03, Department of Computer Science and Software Engineering, University of Newcastle, Australia, 1998. Available at ftp://ftp.cs.newcastle.edu.au/pub/techreports/tr98-03.ps.Z.
    • (1998) Technical Report , vol.98 , Issue.3
    • Eades, P.1    Nagamochi, H.2    Feng, Q.3
  • 14
    • 0037708236 scopus 로고    scopus 로고
    • Building chain and cactus representations of all minimum cuts from Hao-Orlin in the same asymptotic run time
    • Fleischer L. Building chain and cactus representations of all minimum cuts from Hao-Orlin in the same asymptotic run time. J. Algorithms. 33:(1):1999;51-72.
    • (1999) J. Algorithms , vol.33 , Issue.1 , pp. 51-72
    • Fleischer, L.1
  • 15
    • 84947909727 scopus 로고    scopus 로고
    • Drawing high degree graphs with low bend numbers
    • F.J. Brandenburg. Lecture Notes in Computer Science, Berlin: Springer
    • Fößmeier U., Kaufmann M. Drawing high degree graphs with low bend numbers. Brandenburg F.J. Proceedings of the 3rd International Symposium on Graph Drawing (GD '95). Lecture Notes in Computer Science. vol. 1027:1996;254-266 Springer, Berlin.
    • (1996) Proceedings of the 3rd International Symposium on Graph Drawing (GD '95) , vol.1027 , pp. 254-266
    • Fößmeier, U.1    Kaufmann, M.2
  • 16
    • 84957671364 scopus 로고    scopus 로고
    • A new minimum cost flow algorithm with applications to graph drawing
    • S.C. North. Lecture Notes in Computer Science, Berlin: Springer
    • Garg A., Tamassia R. A new minimum cost flow algorithm with applications to graph drawing. North S.C. Proceedings of the 4th International Symposium on Graph Drawing (GD '96). Lecture Notes in Computer Science. vol. 1190:1996;201-213 Springer, Berlin.
    • (1996) Proceedings of the 4th International Symposium on Graph Drawing (GD '96) , vol.1190 , pp. 201-213
    • Garg, A.1    Tamassia, R.2
  • 17
    • 45149087439 scopus 로고    scopus 로고
    • Graph drawing algorithm engineering with AGD
    • Software Visualization, International Seminar, Dagstuhl Castle, Germany, May 20-25, 2001, Diehl Berlin: Springer
    • Gutwenger C., Jünger M., Klau G.W., Leipert S., Mutzel P. Graph drawing algorithm engineering with AGD. Diehl. Software Visualization, International Seminar, Dagstuhl Castle, Germany, May 20-25, 2001. Lecture Notes in Computer Science. vol. 2269:2002;307-323 Springer, Berlin. project home page at http://www.ads.tuwien.ac.at/AGD.
    • (2002) Lecture Notes in Computer Science , vol.2269 , pp. 307-323
    • Gutwenger, C.1    Jünger, M.2    Klau, G.W.3    Leipert, S.4    Mutzel, P.5
  • 19
    • 0031212053 scopus 로고    scopus 로고
    • Faster shortest-path algorithms for planar graphs
    • Special Issue on Selected Papers from STOC 1994
    • Henzinger M.R., Klein P., Rao S., Subramanian S. Faster shortest-path algorithms for planar graphs. J. Comput. System Sci. 55:1997;3-23. Special Issue on Selected Papers from STOC 1994.
    • (1997) J. Comput. System Sci. , vol.55 , pp. 3-23
    • Henzinger, M.R.1    Klein, P.2    Rao, S.3    Subramanian, S.4
  • 20
    • 4344573366 scopus 로고    scopus 로고
    • Triangulating clustered graphs
    • Zentrum für Angewandte Informatik Köln
    • Jünger M., Leipert S., Percan M. Triangulating clustered graphs, Technical Report zaik2002-444, Zentrum für Angewandte Informatik Köln, 2002. http://www.zaik.uni-koeln.de/%7Epaper/preprints.html?show=zaik2002-444%.
    • (2002) Technical Report , vol.ZAIK2002-444
    • Jünger, M.1    Leipert, S.2    Percan, M.3
  • 21
    • 0141977833 scopus 로고    scopus 로고
    • Quasi orthogonal drawing of planar graphs
    • Max-Planck-Institut für Informatik, Saarbrücken, Germany
    • Klau G.W., Mutzel P. Quasi orthogonal drawing of planar graphs, Technical Report MPI-I-98-1-013, Max-Planck-Institut für Informatik, Saarbrücken, Germany, 1998. Available at http://data.mpi-sb.mpg.de/ internet/reports.nsf.
    • (1998) Technical Report , vol.MPI-I-98-1-013
    • Klau, G.W.1    Mutzel, P.2
  • 23
    • 0002016991 scopus 로고
    • Geometric topology in dimensions 2 and 3
    • Berlin: Springer
    • Moise E.E. Geometric Topology in Dimensions 2 and 3. Graduate Texts in Mathematics. vol. 47:1977;Springer, Berlin.
    • (1977) Graduate Texts in Mathematics , vol.47
    • Moise, E.E.1
  • 24
    • 0038582057 scopus 로고    scopus 로고
    • Constructing cactus representation for all minimum cuts in an undirected network
    • Nagamochi H., Kameda T. Constructing cactus representation for all minimum cuts in an undirected network. J. Oper. Res. Soc. Japan. 39:(2):1996;135-158.
    • (1996) J. Oper. Res. Soc. Japan , vol.39 , Issue.2 , pp. 135-158
    • Nagamochi, H.1    Kameda, T.2
  • 25
    • 0023366861 scopus 로고
    • On embedding a graph in the grid with the minimum number of bends
    • Tamassia R. On embedding a graph in the grid with the minimum number of bends. SIAM J. Comput. 16:1987;421-444.
    • (1987) SIAM J. Comput. , vol.16 , pp. 421-444
    • Tamassia, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.