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Graph drawing methods

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Conceptual Structures: Knowledge Representation as Interlingua (ICCS 1996)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1115))

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Abstract

Many structures in Information Technology can be modeled as graphs, and the success of the model depends on the appearance of the graph: a good drawing can be worth a thousand words, a poor drawing can confuse and obscure the model. This paper surveys recently developed methods for automatic graph drawing.

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References

  1. C. Batini, L. Furlani, and E. Nardelli. What is a good diagram? A pragmatic approach. In Proc. 4th Internat. Conf. on the Entity Relationship Approach, 1985.

    Google Scholar 

  2. C. Batini, E. Nardelli, M. Talamo, and R. Tamassia. A graph theoretic approach to aesthetic layout of information systems diagrams. In Proc. 10th Internat. Workshop Graph-Theoret. Concepts Comput. Sci. (Berlin June 1984), pages 9–18, Linz, Austria, 1984. Trauner Verlag.

    Google Scholar 

  3. G. Di Battista, P. Eades, R. Tamassia, and I. Tollis. Algorithms for drawing graphs: An annotated bibliography. Computational Geometry: Theory and Applications, 4:235–282, 1994. currently available from wilma.cs.brown.edu by ftp.

    Google Scholar 

  4. F. J. Brandenburg. Designing graph drawings by layout graph grammars. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 416–427. Springer-Verlag, 1995.

    Google Scholar 

  5. I. Bruss and A. Frick. Fast interactive 3d graph visualization. In Graph Drawing, volume 1027 of Lecture Notes in Computer Science, pages 99–110. Springer, 1995.

    Google Scholar 

  6. R. Cohen, P. Eades, T. Lin, and F. Ruskey. Three-dimensional graph drawing. In Graph Drawing 94, volume 894 of Lecture Notes in Computer Science, pages 1–11. Springer, 1994.

    Google Scholar 

  7. I. Cruz and J. Twarog. 3d graph drawing with simluated annealing. In Graph Drawing, volume 1027 of Lecture Notes in Computer Science, pages 162–165. Springer, 1995.

    Google Scholar 

  8. I. F. Cruz. Using a visual constraint language for data display specification. In P. C. Kanellakis, J.-L. Lassez, and V. Saraswat, editors, First Workshop on Principles and Practice of Constraint Programming, Newport, RI, April 1993.

    Google Scholar 

  9. I. F. Cruz and A. Garg. Drawing graphs by example efficiently: Trees and planar acyclic digraphs. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 404–415. Springer-Verlag, 1995.

    Google Scholar 

  10. I. F. Cruz, R. Tamassia, and P. Van Hentenryk. A visual approach to graph drawing. In Graph Drawing '93 (Proc. ALCOM Workshop on Graph Drawing), Paris, France, September 1993.

    Google Scholar 

  11. R. Davidson and D. Harel. Drawing graphs nicely using simulated annealing. Commun. ACM. To appear.

    Google Scholar 

  12. R. Davidson and D. Harel. Drawing graphs nicely using simulated aneealing. Technical report, Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot, 1989.

    Google Scholar 

  13. E. Dengler, M. Friedell, and J. Marks. Constraint-driven diagram layout. In Proc. IEEE Sympos. on Visual Languages (VL '93), pages 330–335, 1993.

    Google Scholar 

  14. P. Eades. A heuristic for graph drawing. Congr. Numer., 42:149–160, 1984.

    Google Scholar 

  15. P. Eades and D. Kelly. Heuristics for reducing crossings in 2-layered networks. Ars Combin., 21.A:89–98, 1986.

    Google Scholar 

  16. P. Eades, W. Lai, K. Misue, and K. Sugiyama. Preserving the mental map of a diagram. In Proceedings of Compugraphics 91, pages 24–33, 1991.

    Google Scholar 

  17. P. Eades, W. Lai, K. Misue, and K. Sugiyama. Layout adjustment and the mental map. Journal of Visual Languages and Computing, 6:183–210, 1995.

    Google Scholar 

  18. P. Eades and T. Lin. Algorithmic and declarative approaches to aesthetic layout. In Graph Drawing '93 (Proc. ALCOM Workshop on Graph Drawing), Paris, France, September 1993.

    Google Scholar 

  19. P. Eades and X. Lin. Notes on the layer assignment problem for drawing directed graphs. In ACSC 14: Proceedings of the 14th Australian Computer Science Conference, pages 26-1–26-10, 1991.

    Google Scholar 

  20. P. Eades and X. Lin. A new heuristic for the feedback arc set problem. Australian Journal of Combinatorics, 12:15–26, 1995.

    Google Scholar 

  21. P. Eades and N. Wormald. Edge crossings in drawings of bipartite graphs. Technical Report 108, Department of Computer Science, University of Queensland. to appear in Algorithmica.

    Google Scholar 

  22. A. Frick, A. Ludwig, and H. Mehldau. A fast adaptive layout algorithm for undirected graphs. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 388–403. Springer-Verlag, 1995.

    Google Scholar 

  23. T. Fruchterman and E. Reingold. Graph drawing by force-directed placement. Softw. — Pract. Exp., 21(11):1129–1164, 1991.

    Google Scholar 

  24. E. R. Gansner, E. Koutsofios, S. C. North, and K. P. Vo. A technique for drawing directed graphs. IEEE Trans. Softw. Eng., 19:214–230, 1993.

    Google Scholar 

  25. E.R. Gansner, S.C. North, and K.P. Vo. Dag — a program that draws directed graphs. Software — Practice and Experience, 18(11):1047–1062, 1988.

    Google Scholar 

  26. M. R. Garey and D. S. Johnson. Crossing number is NP-complete. SIAM J. Algebraic Discrete Methods, 4(3):312–316, 1983.

    Google Scholar 

  27. J. Cai X. Han and R. E. Tarjan. An O(mlog n)-time algorithm for the maximal subgraph problem. SIAM J. Comput., 22:1142–1162, 1993.

    Google Scholar 

  28. D. Harel. On visual formalisms. Communications of the ACM, 31(5):514–530, 1988.

    Google Scholar 

  29. M. Himsolt. Graphed: An interactive graph editor. In Proc. STAGS 89, volume 349 of Lecture Notes in Computer Science, pages 532–533, Berlin, 1989. Springer-Verlag.

    Google Scholar 

  30. M. Himsolt. Comparing and evaluating layout algorithms within GraphEd. J. Visual Languages and Computing, 6(3), 1995. (special issue on Graph Visualization, edited by I. F. Cruz and P. Eades).

    Google Scholar 

  31. M. Himsolt. GraphEd: a graphical platform for the implementation of graph algorithms. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 182–193. Springer-Verlag, 1995.

    Google Scholar 

  32. R. Jayakumar, K. Thulasiraman, and M. N. S. Swamy. An optimal algorithm for maximal planarization of nonplanar graphs. In Proc. IEEE Internat. Sympos. on Circuits and Systems, pages 1237–1240, 1986.

    Google Scholar 

  33. M. Juenger and P. Mutzel. Maximum planar subgraphs and nice embeddings: Practical layout tools. Algorithmica. (special issue on Graph Drawing, edited by G. Di Battista and R. Tamassia, to appear).

    Google Scholar 

  34. T. Kamada. Visualizing Abstract Objects and Relations. World Scientific Series in Computer Science, 1989.

    Google Scholar 

  35. T. Kamada and S. Kawai. Automatic display of network structures for human understanding. Technical Report 88-007, Department of Information Science, University of Tokyo, 1988.

    Google Scholar 

  36. T. Kamada and S. Kawai. An algorithm for drawing general undirected graphs. Inform. Process. Lett., 31:7–15, 1989.

    Google Scholar 

  37. H. Koike. An application of three dimensional visualization to object-oriented programming. In Advanced Visual Interfaces (Proceedings of AVI 92), volume 36 of World Scientific Series in Computer Science, pages 180–192, 1992.

    Google Scholar 

  38. C. Kosak and J. Marks. A parallel genetic algorithm for network-diagram layout. In Proc. 4th Int. Conf. on Genetic Algorithms (ICGA91), 1991.

    Google Scholar 

  39. Wei Lai. Building Interactive Diagram Applications. PhD thesis, University of Newcsastle, 1993.

    Google Scholar 

  40. T. Lin. Diagram User Interfaces. PhD thesis, University of Newcastle, 1993.

    Google Scholar 

  41. T. Lin and P. Eades. Integration of declarative and algorithmic approaches for layout creation. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 376–387. Springer-Verlag, 1995.

    Google Scholar 

  42. X. Mendonca. A System for Drawing Conceptual Scheme Diagrams. PhD thesis, University of Queensland, 1994.

    Google Scholar 

  43. E. B. Messinger. Automatic layout of large directed graphs. Technical Report 88-07-08, Department of Computer Science, University of Washington, 1988.

    Google Scholar 

  44. E. B. Messinger, L. A. Rowe, and R. H. Henry. A divide-and-conquer algorithm for the automatic layout of large directed graphs. IEEE Trans. Syst. Man Cybern., SMC-21(1):1–12, 1991.

    Google Scholar 

  45. K. Misue and K. Sugiyama. An overview of diagram based idea organizer: Dabductor. Technical Report IIAS-RR-93-3E, ISIS, Fujitsu Laboratories, 1993.

    Google Scholar 

  46. B. Monien, F. Ramme, and H. Salmen. A parallel simulated annealing algorithm for generating 3d layouts of undirected graphs. In Graph Drawing, volume 1027 of Lecture Notes in Computer Science, pages 396–408. Springer, 1995.

    Google Scholar 

  47. F. Newbery Paulish and W.F. Tichy. Edge: An extendible graph editor. Software — Practice and Experience, 20(S1):1/63–S1/88, 1990. also as Technical Report 8/88, Fakultat fur Informatik, Univ. of Karlsruhe, 1988.

    Google Scholar 

  48. H. Purchase, R. Cohen, and M. James. Validating graph drawing aesthetics. In Graph Drawing, volume 1027 of Lecture Notes in Computer Science, pages 435–446. Springer, 1995.

    Google Scholar 

  49. R. Cohen Q-W. Feng and P. Eades. How to draw a planar clustered graph. In Computing and Combinatorics, volume 959 of Lecture Notes in Computer Science, pages 21–30. Springer, 1995.

    Google Scholar 

  50. R. Cohen Q-W. Feng and P. Eades. Planarity for clustered graphs. In Algorithms — ESA95, volume 979 of Lecture Notes in Computer Science, pages 213–226. Springer, 1995.

    Google Scholar 

  51. S. P. Reiss. A framework for abstract 3d visualization. In Proc. IEEE Sympos. on Visual Languages (VL '93), 1993.

    Google Scholar 

  52. S. P. Reiss. 3-D visualization of program information. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 12–24. Springer-Verlag, 1995.

    Google Scholar 

  53. S. P. Reiss. An engine for the 3D visualization of program information. J. Visual Languages and Computing, 6(3), 1995. (special issue on Graph Visualization, edited by I. F. Cruz and P. Eades).

    Google Scholar 

  54. G. Sander. Graph layout through the VCG tool. In R. Tamassia and I. G. Tollis, editors, Graph Drawing (Proc. GD '94), volume 894 of Lecture Notes in Computer Science, pages 194–205. Springer-Verlag, 1995.

    Google Scholar 

  55. Tom Sawyer Software. Graph layout toolkit. available from bmadden@TomSawyer.COM.

    Google Scholar 

  56. M. Storey and H. Mueller. Graph layout adjustment strategies. In Graph Drawing, volume 1027 of Lecture Notes in Computer Science, pages 487–489. Springer, 1995.

    Google Scholar 

  57. K. Sugiyama and K. Misue. Visualization of structural information: Automatic drawing of compound digraphs. IEEE Transactions on Software Engineering, 21(4):876–892, 1991.

    Google Scholar 

  58. K. Sugiyama, S. Tagawa, and M. Toda. Methods for visual understanding of hierarchical systems. IEEE Trans. Syst. Man Cybern., SMC-11(2):109–125, 1981.

    Google Scholar 

  59. R. Tamassia. On embedding a graph in the grid with the minimum number of bends. SIAM J. Comput, 16(3):421–444, 1987.

    Google Scholar 

  60. R. Tamassia, G. Di Battista, and C. Batini. Automatic graph drawing and read-ability of diagrams. IEEE Trans. Syst. Man Cybern., SMC-18(1):61–79, 1988.

    Google Scholar 

  61. R. Tamassia and I.G. Tollis. A unified approach to visibility representations of planar graphs. Discrete and Computational Geometry, 1(4):321–341, 1986.

    Google Scholar 

  62. H. Trickey. Drag: A graph drawing system. In Proc. Internat. Conf. on Electronic Publishing, pages 171–182. Cambridge University Press, 1988.

    Google Scholar 

  63. W. T. Tutte. How to draw a graph. Proceedings London Mathematical Society, 13(3):743–768, 1963.

    Google Scholar 

  64. J. Warfield. Crossing theory and hierarchy mapping. IEEE Trans. Syst. Man Cybern., SMC-7(7):502–523, 1977.

    Google Scholar 

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Authors and Affiliations

  1. Department of Computer Science, The University of Newcastle, 2308, Newcastle, NSW, Australia

    P. Eades

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  1. P. Eades
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Peter W. Eklund Gerard Ellis Graham Mann

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© 1996 Springer-Verlag Berlin Heidelberg

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Eades, P. (1996). Graph drawing methods. In: Eklund, P.W., Ellis, G., Mann, G. (eds) Conceptual Structures: Knowledge Representation as Interlingua. ICCS 1996. Lecture Notes in Computer Science, vol 1115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61534-2_3

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  • DOI: https://doi.org/10.1007/3-540-61534-2_3

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