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Volumn 44, Issue 3, 2006, Pages 233-255

Three-dimensional orthogonal graph drawing with optimal volume

Author keywords

Graph drawing; Lower bounds; Orthogonal; Three dimensional

Indexed keywords

ASPECT RATIO; GEOMETRY; VORTEX FLOW;

EID: 32344445029     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-005-1148-z     Document Type: Article
Times cited : (9)

References (29)
  • 1
    • 0026177615 scopus 로고
    • Complexities of layouts in three-dimensional VLSI circuits
    • Mokhtar A. Aboelaze and Benjamin W. Wah. Complexities of layouts in three-dimensional VLSI circuits. Inform. Sci., 55(1-3):167-188, 1991.
    • (1991) Inform. Sci. , vol.55 , Issue.1-3 , pp. 167-188
    • Aboelaze, M.A.1    Wah, B.W.2
  • 2
    • 0026082425 scopus 로고
    • Multilayer grid embeddings for VLSI
    • Alok Aggarwal, Maria Klawe, and Peter Shor. Multilayer grid embeddings for VLSI. Algorithmica, 6(1): 129-151, 1991.
    • (1991) Algorithmica , vol.6 , Issue.1 , pp. 129-151
    • Aggarwal, A.1    Klawe, M.2    Shor, P.3
  • 4
    • 4043087584 scopus 로고    scopus 로고
    • 1-Bend 3-D orthogonal box-drawings: Two open problems solved
    • Therese Biedl. 1-Bend 3-D orthogonal box-drawings: two open problems solved. J. Graph Algorithms Appl., 5(3):1-15, 2001.
    • (2001) J. Graph Algorithms Appl. , vol.5 , Issue.3 , pp. 1-15
    • Biedl, T.1
  • 5
    • 84957922838 scopus 로고    scopus 로고
    • Three approaches to SD-orthogonal box-drawings
    • Sue Whitesides, editor, volume 1547 of Lecture Notes in Computer Science. Springer, Berlin
    • Therese C. Biedl. Three approaches to SD-orthogonal box-drawings. In Sue Whitesides, editor, Proc. 6th International Symp. on Graph Drawing (GD '98), volume 1547 of Lecture Notes in Computer Science, pages 30-43. Springer, Berlin, 1998.
    • (1998) Proc. 6th International Symp. on Graph Drawing (GD '98) , pp. 30-43
    • Biedl, T.C.1
  • 6
    • 17444393950 scopus 로고    scopus 로고
    • A note on 3D orthogonal graph drawing
    • to appear
    • Therese Biedl and Timothy Chan. A note on 3D orthogonal graph drawing. Discrete Appl, Math., to appear.
    • Discrete Appl, Math.
    • Biedl, T.1    Chan, T.2
  • 7
    • 84949199857 scopus 로고    scopus 로고
    • Area-efficient static and incremental graph drawings
    • Rainer E. Burkhard and Gerhard J. Woeginger, editors, volume 1284 of Lecture Notes in Comput. Science. Springer, Berlin
    • Therese C. Biedl and Michael Kaufmann. Area-efficient static and incremental graph drawings. In Rainer E. Burkhard and Gerhard J. Woeginger, editors, Proc. 5th Annual European Symp. on Algorithms (ESA '97), volume 1284 of Lecture Notes in Comput. Science, pages 37-52. Springer, Berlin, 1997.
    • (1997) Proc. 5th Annual European Symp. on Algorithms (ESA '97) , pp. 37-52
    • Biedl, T.C.1    Kaufmann, M.2
  • 10
    • 0002568664 scopus 로고    scopus 로고
    • A split&push approach to 3D orthogonal drawing
    • Giuseppe Di Battista, Maurizio Patrignani, and Francesco Vargiu. A split&push approach to 3D orthogonal drawing. J. Graph Algorithms Appl., 4(3):105-133, 2000.
    • (2000) J. Graph Algorithms Appl. , vol.4 , Issue.3 , pp. 105-133
    • Battista, G.D.1    Patrignani, M.2    Vargiu, F.3
  • 12
    • 0030260127 scopus 로고    scopus 로고
    • The techniques of Kolmogorov and Barzdin for three dimensional orthogonal graph drawings
    • Peter Eades, Charles Stirk, and Sue Whitesides. The techniques of Kolmogorov and Barzdin for three dimensional orthogonal graph drawings. Inform. Process Lett., 60(2):97-103, 1996.
    • (1996) Inform. Process Lett. , vol.60 , Issue.2 , pp. 97-103
    • Eades, P.1    Stirk, C.2    Whitesides, S.3
  • 13
    • 0002574617 scopus 로고    scopus 로고
    • Three dimensional orthogonal graph drawing algorithms
    • Peter Eades, Antonios Symvonis, and Sue Whitesides. Three dimensional orthogonal graph drawing algorithms. Discrete Appl. Math., 103:55-87, 2000.
    • (2000) Discrete Appl. Math. , vol.103 , pp. 55-87
    • Eades, P.1    Symvonis, A.2    Whitesides, S.3
  • 14
    • 0033484513 scopus 로고    scopus 로고
    • Rectangle and box visibility graphs in 3D
    • Sándor Fekete and Henk Meijer. Rectangle and box visibility graphs in 3D. Internat. J. Comput. Geom. Appl., 9(1): 1-21, 1999.
    • (1999) Internat. J. Comput. Geom. Appl. , vol.9 , Issue.1 , pp. 1-21
    • Fekete, S.1    Meijer, H.2
  • 15
    • 32344437342 scopus 로고
    • An elementary proof of formulae of de la Vallée Poussin (in Russian)
    • Èrnests K. Fogels. An elementary proof of formulae of de la Vallée Poussin (in Russian). Latvijas PSR Zinãtņu Akad. Vestis, 11(40):123-130, 1950.
    • (1950) Latvijas PSR Zinãtņu Akad. Vestis , vol.11 , Issue.40 , pp. 123-130
    • Fogels, È.K.1
  • 16
    • 0020851902 scopus 로고
    • Graph embedding on a three-dimensional model
    • Ken' ichi Hagihara, Nobuki Tokura, and Naoya Suzuki. Graph embedding on a three-dimensional model. Systems Comput. Controls, 14(6):58-66, 1983.
    • (1983) Systems Comput. Controls , vol.14 , Issue.6 , pp. 58-66
    • Hagihara, K.1    Tokura, N.2    Suzuki, N.3
  • 18
  • 20
    • 0024045909 scopus 로고
    • Explicit group-theoretical constructions of combinatorial schemes and their applications to the design of expanders and superconcentrators
    • Gregory A. Margulis. Explicit group-theoretical constructions of combinatorial schemes and their applications to the design of expanders and superconcentrators. Probl. Inf. Transm., 24(1):39-64, 1988.
    • (1988) Probl. Inf. Transm. , vol.24 , Issue.1 , pp. 39-64
    • Margulis, G.A.1
  • 21
    • 0002830707 scopus 로고    scopus 로고
    • Algorithms for incremental orthogonal graph drawing in three dimensions
    • Achilleas Papakostas and Ioannis G. Tollis. Algorithms for incremental orthogonal graph drawing in three dimensions. J. Graph Algorithms Appl., 3(4):81-115, 1999.
    • (1999) J. Graph Algorithms Appl. , vol.3 , Issue.4 , pp. 81-115
    • Papakostas, A.1    Tollis, I.G.2
  • 22
    • 0004392594 scopus 로고
    • Optimal three-dimensional VLSI layouts
    • Franco P. Preparata. Optimal three-dimensional VLSI layouts. Math. Systems Theory, 16:1-8, 1983.
    • (1983) Math. Systems Theory , vol.16 , pp. 1-8
    • Preparata, F.P.1
  • 23
    • 0020781953 scopus 로고
    • Three-dimensional VLSI: A case study
    • Arnold L. Rosenberg. Three-dimensional VLSI: a case study. J. Assoc. Comput. Mach., 30(2):397-416, 1983.
    • (1983) J. Assoc. Comput. Mach. , vol.30 , Issue.2 , pp. 397-416
    • Rosenberg, A.L.1
  • 25
    • 84958981448 scopus 로고    scopus 로고
    • Multi-dimensional orthogonal graph drawing with small boxes
    • Jan Kratochvil, editor, volume 1731 of Lecture Notes in Computer Science. Springer, Berlin
    • David R. Wood. Multi-dimensional orthogonal graph drawing with small boxes. In Jan Kratochvil, editor, Proc. 7th International Symp. on Graph Drawing (GD '99), volume 1731 of Lecture Notes in Computer Science, pages 311-222. Springer, Berlin, 1999.
    • (1999) Proc. 7th International Symp. on Graph Drawing (GD '99) , pp. 311-1222
    • Wood, D.R.1
  • 26
    • 32344441217 scopus 로고    scopus 로고
    • A new algorithm and open problems in three-dimensional orthogonal graph drawing
    • Rajeev Raman and Jamie Simpson, editors. Curtin University of Technology, Australia
    • David R. Wood. A new algorithm and open problems in three-dimensional orthogonal graph drawing. In Rajeev Raman and Jamie Simpson, editors, Proc. 8th Australasian Workshop on Combinatorial Algorithms (AWOCA '97), pages 157-167. Curtin University of Technology, Australia, 1999.
    • (1999) Proc. 8th Australasian Workshop on Combinatorial Algorithms (AWOCA '97) , pp. 157-167
    • Wood, D.R.1
  • 27
    • 84867451565 scopus 로고    scopus 로고
    • Bounded degree book embeddings and three-dimensional orthogonal graph drawing
    • P. Mutzel, M. Jünger, and S. Leipert, editors, volume 2265 of Lecture Notes in Computer Science. Springer, Berlin
    • David R. Wood. Bounded degree book embeddings and three-dimensional orthogonal graph drawing. In P. Mutzel, M. Jünger, and S. Leipert, editors, Proc. 9th International Symp. on Graph Drawing (GD '01), volume 2265 of Lecture Notes in Computer Science, pages 312-327. Springer, Berlin, 2002.
    • (2002) Proc. 9th International Symp. on Graph Drawing (GD '01) , pp. 312-327
    • Wood, D.R.1
  • 28
    • 0037453393 scopus 로고    scopus 로고
    • Optimal three-dimensional orthogonal graph drawing in the general position model
    • David R. Wood. Optimal three-dimensional orthogonal graph drawing in the general position model. Theoret. Comput. Sci., 299(1-3):151-178, 2003.
    • (2003) Theoret. Comput. Sci. , vol.299 , Issue.1-3 , pp. 151-178
    • Wood, D.R.1
  • 29
    • 15344345282 scopus 로고    scopus 로고
    • Minimising the number of bends and volume in three-dimensional orthogonal graph drawings with a diagonal vertex layout
    • David R. Wood. Minimising the number of bends and volume in three-dimensional orthogonal graph drawings with a diagonal vertex layout. Algorithmica, 39(3):235-253, 2004.
    • (2004) Algorithmica , vol.39 , Issue.3 , pp. 235-253
    • Wood, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.