| Graph Ramsey theory and the polynomial hierarchy |
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Annual ACM Symposium on Theory of Computing
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Proceedings of the thirty-first annual ACM symposium on Theory of computing
table of contents
Atlanta, Georgia, United States
Pages: 592 - 601
Year of Publication: 1999
ISBN:1-58113-067-8
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Author
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Marcus Schaefer
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Department of Computer Science, University of Chicago, 1100 East 58th Street, Chicago, Illinois
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Downloads (6 Weeks): 3, Downloads (12 Months): 42, Citation Count: 2
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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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Stefan A. Burr. An NP-complete problem in euclidean ramsey theory. Congressus Numerantium, 35:131-138, 1982.
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Stefan A. Burr. Determining generalized ramsey numbers is NP-hard. Ars Combinatoria, 17:21-25, 1984.
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Stefan A. Burr. Some undecidable problems involving the edge-coloring and vertexcoloring of graphs. Discrete Mathematics, 50:17 I-177, 1984.
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Stefan A. Burr. On the computational complexity of ramsey-type problems. In Nesetril & Rodl, editor, Mathematics of Ramsey Theory. Springer-Verlag, 1990.
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Stefan A. Burr, Jaroslav Ne~effil, and Vojtech R6dl. On the use of senders in generalized ramsey theory of graphs. Discrete Mathematics, 54:1-13, 1985.
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Vhclav Chvfital. Tree-complete graph ramsey numbers. Journal of Graph Theory, page 93, 1977.
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V/tclav Chv~tal and Frank Harary. Generalized ramsey theory for graphs, iii. small offdiagonal numbers. Pacific Journal of mathematics, 41 (2):335-345, 1972.
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R~inhard Diestel. Graph Theory. Springer, New York, 1997.
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Michael R. Garey and David S. Johnson. Computers and Intractability. Freeman, San Francisco, 1979.
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William fan Gasarch. A survey of recursive combinatorics. In Ershov, Goncharov, Nerode, and Remmel, editors, Handbook of Recursive Algebra. North-Holland Publishing Co.
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Ronald L. Graham, Bruce L. Rothschild, and Joel H. Spencer. Ramsey Theory. Wiley, 1990.
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Frank Harary, Jaroslav Ne~eti-il, and Vojtech R6dl. Generalized ramsey theory for graphs xiv: Induced ramsey numbers. In Miroslav Fiedler, editor, Graphs and Other Combinatorial Topics, pages 90--100. Teubner, 1983.
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Thomas Hayes. Personal communication.
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Ker-I Ko and Wen-Guey Tzeng. Three Z2P- complete problems in computational learning theory. Computational Complexity, 1:269- 310, 1991.
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Y. Kohayakawa, H. J. Pr6mel, and Vojtech R6dl. Induced ramsey numbers. To appear in Combinatorica.
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Frank Plumpton Ramsey. On a problem of formal logic. In Proceedings of the London Mathematical Society, volume xxx of 2, pages 264-286. 1930.
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Marcus Schaefer and Pradyut Shah. Induced graph ramsey theory. Unpublished manuscript.
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