An algorithm for finding three dimensional symmetry in Trees

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1984, Issue , 2001, Pages 360-371

  Hong, Seok Hee ^a   Eades, Peter ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLUSTERING ALGORITHMS; DRAWING (GRAPHICS); FORESTRY; TREES (MATHEMATICS);

LINEAR-TIME ALGORITHMS; THREE DIMENSIONS; THREE-DIMENSIONAL SYMMETRY;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 84958544542     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44541-2_34     Document Type: Conference Paper

References (11)

1. A. Aho, J. Hopcroft and J. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, 1974.
2. M. A. Armstrong, Groups and Symmetry, Springer-Verlag, 1988.
3. P. Eades and X. Lin, Spring Algorithms and Symmetry, Computing and Combinatorics, Springer Lecture Notes in Computer Science 1276, (Ed. Jiang and Lee), pp. 202-211.
4. H. Fraysseix, An Heuristic for Graph Symmetry Detection, Graph Drawing'99, Lecture Notes in Computer Science 1731, (Ed. J. Kratochvil), pp. 276-285, Springer Verlag, 1999.
5. S. Hong, P. Eades, A. Quigley and S. Lee, Drawing Algorithms for Series-Parallel Digraphs in Two and Three Dimensions, In S. Whitesides, editor, Graph Drawing (Proc. GD'98), vol. 1547 of Lecture Notes in Computer Science, pp. 198-209, Springer Verlag, 1998.
6. S. Hong, P. Eades and S. Lee, An Algorithm for Finding Geometric Automorphisms in Planar Graphs, Algorithms and Computation, Lecture Notes in Computer Science 1533, (Ed. Chwa and Ibarra), pp.277-286, Springer Verlag, 1998.
7. E. H. Lockwood and R. H. Macmillan, Geometric Symmetry, Cambridge University Press, 1978.
8. J. Manning and M. J. Atallah, Fast Detection and Display of Symmetry in Trees, Congressus Numerantium, 64, pp. 159-169, 1988.
9. J. Manning and M. J. Atallah, Fast Detection and Display of Symmetry in Outerplanar Graphs, Discrete Applied Mathematics, 39, pp. 13-35, 1992.
10. J. Manning, Geometric Symmetry in Graphs, Ph.D. Thesis, Purdue Univ., 1990.
11. G. E. Martin, Transformation Geometry, an Introduction to Symmetry, Springer, New York, 1982.