메뉴 건너뛰기




Volumn E87-D, Issue 2, 2004, Pages 281-289

Algorithms for Drawing Plane Graphs

Author keywords

Box rectangular drawing; Convex drawing; Grid drawing; Orthogonal drawing; Plane graph; Rectangular drawing; Straight line drawing

Indexed keywords

ALGORITHMS; GEOMETRY; GRAPH THEORY;

EID: 1442283742     PISSN: 09168532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (34)
  • 1
    • 0023853385 scopus 로고
    • A linear algorithm to find a rectangular dual of a planar triangulated graph
    • J. Bhasker and S. Sahni, "A linear algorithm to find a rectangular dual of a planar triangulated graph," Algorithmica, vol.3, pp.247-278, 1988.
    • (1988) Algorithmica , vol.3 , pp. 247-278
    • Bhasker, J.1    Sahni, S.2
  • 2
    • 84947912834 scopus 로고    scopus 로고
    • Optimal orthogonal drawings of triconnected plane graphs
    • Proc. SWAT '96
    • T.C. Biedl, "Optimal orthogonal drawings of triconnected plane graphs," Proc. SWAT '96, LNCS 1097, pp.333-344, 1996.
    • (1996) LNCS , vol.1097 , pp. 333-344
    • Biedl, T.C.1
  • 3
  • 4
    • 0003125523 scopus 로고
    • Linear algorithms for convex drawings of planar graphs
    • ed. J.A. Bondy and U.S.R. Murty, Academic Press
    • N. Chiba, T. Yamanouchi, and T. Nishizeki, "Linear algorithms for convex drawings of planar graphs," in Progress in Graph Theory, ed. J.A. Bondy and U.S.R. Murty, pp. 153-173, Academic Press, 1984.
    • (1984) Progress in Graph Theory , pp. 153-173
    • Chiba, N.1    Yamanouchi, T.2    Nishizeki, T.3
  • 5
    • 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," Int. J. Comput. Geomet. Appl., vol.7, pp.211-223, 1997.
    • (1997) Int. J. Comput. Geomet. Appl. , vol.7 , pp. 211-223
    • Chrobak, M.1    Kant, G.2
  • 7
    • 0038139081 scopus 로고
    • A linear-time algorithm for drawing planar graphs on a grid
    • M. Chrobak and T. Payne, "A linear-time algorithm for drawing planar graphs on a grid," Inf. Process. Lett., vol.54, pp.241-246, 1995.
    • (1995) Inf. Process. Lett. , vol.54 , pp. 241-246
    • Chrobak, M.1    Payne, T.2
  • 10
    • 0001567493 scopus 로고
    • On straight lines representation of plane graphs
    • I. Fáry, "On straight lines representation of plane graphs," Acta Sci. Math. Szeged, vol.11, pp.229-233, 1948.
    • (1948) Acta Sci. Math. Szeged , vol.11 , pp. 229-233
    • Fáry, I.1
  • 11
    • 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, vol. 10, pp.41-51, 1990.
    • (1990) Combinatorica , vol.10 , pp. 41-51
    • De Fraysseix, H.1    Pach, J.2    Pollack, R.3
  • 12
    • 84957671364 scopus 로고    scopus 로고
    • A new minimum cost flow algorithm with applications to graph drawing
    • Proc. Graph Drawing'96
    • A. Garg and R. Tamassia, "A new minimum cost flow algorithm with applications to graph drawing," Proc. Graph Drawing'96, LNCS 1190, pp.201-226, 1996.
    • (1996) LNCS , vol.1190 , pp. 201-226
    • Garg, A.1    Tamassia, R.2
  • 13
    • 0027833068 scopus 로고
    • On finding the rectangular duals of planar triangulated graphs
    • X. He, "On finding the rectangular duals of planar triangulated graphs," SIAM J. Comput., vol.22, no.6, pp.1218-1226, 1993.
    • (1993) SIAM J. Comput. , vol.22 , Issue.6 , pp. 1218-1226
    • He, X.1
  • 14
    • 0039269161 scopus 로고    scopus 로고
    • Grid embedding of 4-connected plane graphs
    • X. He, "Grid embedding of 4-connected plane graphs," Discrete & Computational Geometry, vol.17, pp.339-358, 1997.
    • (1997) Discrete & Computational Geometry , vol.17 , pp. 339-358
    • He, X.1
  • 15
    • 0346789750 scopus 로고    scopus 로고
    • A simple linear time algorithm for proper box-rectangular drawings of plane graphs
    • X. He, "A simple linear time algorithm for proper box-rectangular drawings of plane graphs," J. Algorithms, vol.40, no.1, pp.82-101, 2001.
    • (2001) J. Algorithms , vol.40 , Issue.1 , pp. 82-101
    • He, X.1
  • 16
    • 0002648128 scopus 로고    scopus 로고
    • Drawing planar graphs using the canonical ordering
    • G. Kant, "Drawing planar graphs using the canonical ordering," Algorithmica, vol.16, pp.4-32, 1996.
    • (1996) Algorithmica , vol.16 , pp. 4-32
    • Kant, G.1
  • 17
    • 0031069913 scopus 로고    scopus 로고
    • Regular edge labeling of 4-connected plane graphs and its applications in graph drawing problems
    • G. Kant and X. He. "Regular edge labeling of 4-connected plane graphs and its applications in graph drawing problems," Theor. Comput. Sci., vol.172, pp.175-193, 1997.
    • (1997) Theor. Comput. Sci. , vol.172 , pp. 175-193
    • Kant, G.1    He, X.2
  • 18
    • 0021197558 scopus 로고
    • An algorithm for finding a rectangular dual of a planar graph for use in area planning for VLSI integrated circuits
    • K. Kozminski and E. Kinnen, "An algorithm for finding a rectangular dual of a planar graph for use in area planning for VLSI integrated circuits," Proc. 21st DAC, pp.655-656, 1984.
    • (1984) Proc. 21st DAC , pp. 655-656
    • Kozminski, K.1    Kinnen, E.2
  • 20
    • 0347459308 scopus 로고    scopus 로고
    • Finding an optimal floor layout based on an orthogonal graph drawing algorithm
    • S. Munemoto, N. Katoh, and G. Imamura, "Finding an optimal floor layout based on an orthogonal graph drawing algorithm," J. Archit. Plann. Environment Eng. AIJ, vol.524, pp.279-286, 2000.
    • (2000) J. Archit. Plann. Environment Eng. AIJ , vol.524 , pp. 279-286
    • Munemoto, S.1    Katoh, N.2    Imamura, G.3
  • 22
    • 77249093174 scopus 로고    scopus 로고
    • Convex grid drawings of four-connected plane graphs
    • Proc. 11th Annual International Symposium on Algorithms and Computation (ISAAC '00)
    • K. Miura, S. Nakano, and T. Nishizeki, "Convex grid drawings of four-connected plane graphs," Proc. 11th Annual International Symposium on Algorithms and Computation (ISAAC '00), LNCS 1969, pp.254-265, 2000.
    • (2000) LNCS , vol.1969 , pp. 254-265
    • Miura, K.1    Nakano, S.2    Nishizeki, T.3
  • 23
    • 0003427962 scopus 로고    scopus 로고
    • A linear time algorithm for four partitioning four-connected planar graphs
    • S. Nakano, M.S. Rahman, and T. Nishizeki, "A linear time algorithm for four partitioning four-connected planar graphs," Inf. Process. Lett., vol.62, pp.315-322, 1997.
    • (1997) Inf. Process. Lett. , vol.62 , pp. 315-322
    • Nakano, S.1    Rahman, M.S.2    Nishizeki, T.3
  • 24
    • 77950840863 scopus 로고    scopus 로고
    • Bend-minimum orthogonal drawings of plane 3-graphs
    • Proc. WG '02
    • M.S. Rahman and T. Nishizeki, "Bend-minimum orthogonal drawings of plane 3-graphs," Proc. WG '02, LNCS 2573, pp.265-276, 2002.
    • (2002) LNCS , vol.2573 , pp. 265-276
    • Rahman, M.S.1    Nishizeki, T.2
  • 26
    • 0347704046 scopus 로고    scopus 로고
    • A linear algorithm for bend-optimal orthogonal drawings of triconnected cubic plane graphs
    • M.S. Rahman, S. Nakano, and T. Nishizeki, "A linear algorithm for bend-optimal orthogonal drawings of triconnected cubic plane graphs," J. Graph Alg. Appl., vol.3, no.4. pp.31-62, 1999.
    • (1999) J. Graph Alg. Appl. , vol.3 , Issue.4 , pp. 31-62
    • Rahman, M.S.1    Nakano, S.2    Nishizeki, T.3
  • 27
    • 0345806492 scopus 로고    scopus 로고
    • Box-rectangular drawings of plane graphs
    • M.S. Rahman, S. Nakano, and T. Nishizeki, "Box-rectangular drawings of plane graphs," J. Algorithms, vol.37, no.2, pp.363-398, 2000.
    • (2000) J. Algorithms , vol.37 , Issue.2 , pp. 363-398
    • Rahman, M.S.1    Nakano, S.2    Nishizeki, T.3
  • 28
    • 31244431660 scopus 로고    scopus 로고
    • Rectangular drawings of plane graphs without designated corners
    • M.S. Rahman. S. Nakano, and T. Nishizeki, "Rectangular drawings of plane graphs without designated corners," Comput. Geom. Theory Appl., vol.21, no.3, pp.121-138, 2002.
    • (2002) Comput. Geom. Theory Appl. , vol.21 , Issue.3 , pp. 121-138
    • Rahman, M.S.1    Nakano, S.2    Nishizeki, T.3
  • 30
    • 0040311166 scopus 로고
    • Convex drawings of planar graphs
    • 92T-05-135
    • W. Schnyder and W. Trotter, "Convex drawings of planar graphs, " Abstracts of the AMS, vol.13, no.5, 92T-05-135, 1992.
    • (1992) Abstracts of the AMS , vol.13 , Issue.5
    • Schnyder, W.1    Trotter, W.2
  • 32
    • 0013361447 scopus 로고
    • Plane representations of graphs
    • ed. J.A. Bondy and U.S.R. Murty, Academic Press Canada
    • C. Thomassen, "Plane representations of graphs," in Progress in Graph Theory, ed. J.A. Bondy and U.S.R. Murty, pp.43-69, Academic Press Canada, 1984.
    • (1984) Progress in Graph Theory , pp. 43-69
    • Thomassen, C.1
  • 33
    • 84962795554 scopus 로고
    • How to draw a graph
    • W.T. Tutte, "How to draw a graph," Proc. London Math. Soc., vol. 13, pp.743-768, 1963.
    • (1963) Proc. London Math. Soc. , vol.13 , pp. 743-768
    • Tutte, W.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.