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New bounds on crossing numbers
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Source Annual Symposium on Computational Geometry archive
Proceedings of the fifteenth annual symposium on Computational geometry table of contents
Miami Beach, Florida, United States
Pages: 124 - 133  
Year of Publication: 1999
ISBN:1-58113-068-6
Authors
János Pach  Courant Institute, NYU and Hungarian Academy of Sciences
Joel Spencer  Courant Institute, NYU
Géza Tóth  Massachusetts Institute of Technology and Hungarian Academy of Sciences
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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M. R. Garey and D. S. Johnson, Crossing number is NP-complete, SIAM J. Alg. Disc. Meth. 4 (1983), 312-316.
 
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R. K. Guy, Crossing numbers of graphs, in: Graph theory and applications (Proc. Conf. Western Michigan Univ., Kalamazoo, Mich., 1972) Lecture Notes in Mathematics 303, Springer, Berlin, 111-124.
 
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F. T. Leighton, New lower bound techniques for VLSI, Math. Systems Theory 17' (1984), 47-70.
 
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R. Lipton and R. Tarjan, A separator theorem for planar graphs, SIAM J. Applied Mathematics 3{} (1979), 177-189.
 
PSS96
J. Pach, F. Shahrokhi, and M. Szegedy, Applications of the crossing number, Algorithmica 16 (1996), 111-117.
 
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PT97
J. Pach and G. T6th, Graphs drawn with few crossings per edge, Combinatorica 17 (1997), 427-439.
 
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I. Reiman, #)ber ein Problem von K. Zarankiewicz, Acta Math. Acad. Sci. Hungar. 9 (1958), 269-279.
 
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R. B. Richter and C. Thomassen, Relations between crossing numbers of complete and complete bipartite graphs, American Mathematical Monthly, February 1997, 131-137.
 
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M. Simonovits, personal communication.
 
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R. Singleton, On minimal graphs of maximum even girth, J. Combinatorial Theory 1 (1966), 306- 332.
 
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A. T. White and L. W. Beineke, Topological graph theory, in: Selected Topics in Graph Theory (L. W. Beineke and R. J. Wilson., eds.), Academic Press, Inc. {Harcourt Brace Jovanovich, Publishers}, London- New York, 1983, 15-49.


Collaborative Colleagues:
János Pach: colleagues
Joel Spencer: colleagues
Géza Tóth: colleagues

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