Non-stretchable pseudo-visibility graphs

Computational Geometry: Theory and Applications

Volumn 31, Issue 3, 2005, Pages 195-206

  Streinu, Ileana ^a  

^a SMITH COLLEGE   (United States)

Author keywords

Oriented matroid; Pseudo visibility graph; Pseudoline arrangement; Stretchability; Visibility graph

Indexed keywords

EID: 84867956205     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2004.12.003     Document Type: Article

References (16)

1. J. Abello, and K. Kumar Visibility graphs and oriented matroids R. Tamassia, I.G. Tollis, Graph Drawing (Proc. GD '94) Lecture Notes in Computer Science vol. 894 1995 Springer Berlin 147 158 Full version in Discrete Computational Geometry 28 2002 449 465
2. A. Björner, M. Las Vergnas, B. Sturmfels, N. White, and G. Ziegler Oriented Matroids 1993 Cambridge University Press Cambridge
3. J. Bokowski Oriented Matroids P. Gruber, J. Wills, Handbook of Convex Geometry, vol. A 1993 North Holland Amsterdam 555 602
4. J. Bokowski, S. Mock, and I. Streinu On the Folkman-Lawrence topological representation theorem for oriented matroids in rank 3 European J. Combinatorics 22 5 2001 601 615
5. H. Everett, Visibility graph recognition, Ph.D. thesis, Computer Science Department, University of Toronto, 1989
6. H. Everett, and D. Corneil Negative results on characterizing visibility graphs Computational Geometry 5 1995 51 63
7. S.K. Ghosh On recognizing and characterizing visibility graphs of simple polygons Discrete Comput. Geom. 17 1997 143 162 Preliminary version Proc. 1st Scand. Workshop Algorithm Theory Lecture Notes in Computer Science vol. 318 1988 Springer Berlin 96 104
8. J.E. Goodman, and R. Pollack On the combinatorial classification of non-degenerate configurations in the plane J. Combin. Theory Ser. A 29 1980 220 235
9. J.E. Goodman, and R. Pollack Semispaces of configurations, cell complexes of arrangements J. Combin. Theory Ser. A 37 1984 257 293
10. J.E. Goodman, and R. Pollack Allowable sequences and order types in discrete and computational geometry J. Pach, New Trends in Discrete and Computational Geometry 1993 Springer Berlin
11. N. Mnëv The universality theorem on the oriented matroid stratification of the space of real matrices J. Goodman, R. Pollack, W. Steiger, Discrete and Computational Geometry, DIMACS Special Year AMS/ACM DIMACS Series in Discrete Math. and Theoretical Computer Science vol. 6 1991
12. J. O'Rourke, and I. Streinu Vertex-edge pseudo-visibility graphs: characterization and recognition Proc. ACM Symp. Comput. Geometry, Nice, France 1997 119 128
13. J. O'Rourke, and I. Streinu The vertex-edge visibility graph of a polygon Computational Geometry 10 2 1998 105 120
14. P. Shor Stretchability of pseudolines is NP-hard P. Gritzmann, B. Sturmfels, Applied Geometry and Discrete Mathematics, the Victor Klee Festscrift DIMACS Series in Discrete Math. and Theoretical Computer Science vol. 4 1991
15. I. Streinu Stretchability of star-like pseudo-polygons Proc. ACM Symp. Comput. Geometry, Miami Beach 1999 274 280
16. I. Streinu Non-stretchable pseudo-visibility graphs Proc. 11th Canadian Conf. Comp. Geometry, Vancouver 1999 22 25