R. M. Wilson

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R. M. Wilson
Residence USA
Citizenship USA
Nationality USA
Fields Combinatorics
Institutions Caltech
Alma mater Ohio State University
Doctoral advisor D. K. Ray-Chaudhuri
Doctoral students Jeff Dinitz
Known for Kirkman's schoolgirl problem

Richard Michael Wilson is a mathematician and a professor at the California Institute of Technology. Wilson and D. K. Ray-Chaudhuri, his Ph.D advisor, solved Kirkman's schoolgirl problem in 1968. Wilson is known for his work in combinatorial mathematics.

His breakthrough in pairwise balanced designs, and orthogonal Latin squares built upon the groundwork set before him, by R. C. Bose, E. T. Parker, S. S. Shrikhande, and Haim Hanani is widely referenced in Combinatorial Design Theory and Coding Theory. [1]

Academic papers[edit]

  • Jacobus H. van Lint; Richard M. Wilson (2001). A course in combinatorics. Cambridge University Press. ISBN 9780521006019. LCCN 2002276170. 
  • Peter Frankl; Vojtech Rödl; Richard M. Wilson (1988). "The number of submatrices of a given type in a Hadamard matrix and related results". Journal of Combinatorial Theory 44 (3): 317–328. doi:10.1016/0095-8956(88)90040-8. 
  • Jacobus H. Van Lint; Richard M. Wilson (1986). "On the minimum distance of cyclic codes". IEEE Transactions on Information Theory 32 (1): 23–40. doi:10.1109/TIT.1986.1057134. 
  • Peter Frankl; Richard M. Wilson (1986). "The Erdös-Ko-Rado theorem for vector spaces". Journal of Combinatorial Theory 43 (2): 228–236. doi:10.1016/0097-3165(86)90063-4. 
  • Jacobus H. Van Lint; Richard M. Wilson (1986). "Binary cyclic codes generated by mira7". IEEE Transactions on Information Theory 32 (2). 
  • Paul Erdös; Joel C. Fowler; Vera T. Sós; Richard M. Wilson (1985). "On 2-Designs". Journal of Combinatorial Theory 38 (2): 131–142. doi:10.1016/0097-3165(85)90064-0. 
  • Richard M. Wilson (1984). "The exact bound in the Erdös - Ko - Rado theorem". Combinatorica 4 (2): 247–257. doi:10.1007/BF02579226. 
  • R. D. Baker; Jacobus H. Van Lint; Richard M. Wilson (1983). "On the Preparata and Goethals codes". IEEE Transactions on Information Theory 29 (3): 342–344. doi:10.1109/TIT.1983.1056675. 
  • Richard M. Wilson (1983). "Inequalities for t Designs". Journal of Combinatorial Theory 34 (3): 313–324. doi:10.1016/0097-3165(83)90065-1. 
  • Peter Frankl; Richard M. Wilson (1981). "Intersection theorems with geometric consequences". Combinatorica 1 (4): 357–368. doi:10.1007/BF02579457. 
  • L. W. Beineke; R. S. Wilson (1978). "Selected topics in graph theory". 
  • R. Baker; R. M. Wilson (1977). "Nearly Kirkman triple systems". 
  • R. M. Wilson; D. L. Teuber; D. T. Thomas; J. R. Watkins; C. M. Cooper (1977). "The MSFC Image Data Processing System". IEEE Computer 10 (8): 37–44. doi:10.1109/C-M.1977.217821. 
  • N. L. Biggs; E. K. Lloyd; R. J. Wilson (1976). "Graph Theory: 1736-1936". 
  • J. J. Gibson; Richard M. Wilson (1976). "The Mini-State-A Small Television Antenna". IEEE Transactions on Consumer Electronics 22 (2): 159–175. doi:10.1109/TCE.1976.266778. 
  • Richard M. Wilson (1975). "An Existence Theory for Pairwise Balanced Designs, III: Proof of the Existence Conjectures". Journal of Combinatorial Theory 18 (1): 71–79. doi:10.1016/0097-3165(75)90067-9. 
  • R. M. Wilson (1975). "Decomposition of complete graphs into subgraphs isomorphic to a given graph". 
  • R. M. Wilson (1974). "Constructions and uses of pairwise balanced designs". Combinatorica 16: 19–42. doi:10.1007/978-94-010-1826-5_2. 
  • R WILSON (1974). "Graph puzzles, homotopy, and the alternating group*1". Journal of Combinatorial Theory 16 (1): 86–96. doi:10.1016/0095-8956(74)90098-7. 
  • R. M. Wilson (1974). "Concerning the number of mutually orthogonal latin squares". Discrete Mathematics 9 (2): 181–198. doi:10.1016/0012-365X(74)90148-4. 
  • R. M. Wilson; J Fawcett (1974). "Dynamics of the slider-crank mechanism with clearance in the sliding bearing". Mechanism and Machine Theory 9 (1): 61–80. doi:10.1016/0094-114X(74)90008-1. 
  • J. Doyen; Richard M. Wilson (1973). "Embeddings of Steiner triple systems". Discrete Mathematics 5 (3): 229–239. doi:10.1016/0012-365X(73)90139-8. 
  • R. M. Wilson (1973). "The necessary conditions for t-designs are su cient for something". 
  • L. W. Beineke; R. J. Wilson (1973). "On the edge-chromatic number of a graph". Discrete Mathematics 5 (1): 15–20. doi:10.1016/0012-365X(73)90023-X. 
  • R WILSON (1973). "Electron emission from Al2O3 in cesium vapor". Surface Science 38 (1): 261–264. doi:10.1016/0039-6028(73)90293-8. 
  • Richard M. Wilson (1972). "An Existence Theory for Pairwise Balanced Designs I. Composition Theorems and Morphisms". Journal of Combinatorial Theory 13 (2): 220–245. doi:10.1016/0097-3165(72)90028-3. 
  • R. M. Wilson (1972). "Cyclotomy and difierence families in elementary abelian groups". 
  • R. M. Wilson (1972). "An existence theory for pairwise balanced designs II". Journal of Combinatorial Theory. 
  • Richard M. Wilson (1972). "An Existence Theory for Pairwise Balanced Designs II. The Structure of PBD-Closed Sets and the Existence Conjectures". Journal of Combinatorial Theory 13 (2): 246–273. doi:10.1016/0097-3165(72)90029-5. 

References[edit]

  1. ^ Arasu, KT; Liu, X.; McGuire, G. (2012). "Preface: Richard M. Wilson, Special issue honoring his 65th birthday". Designs, Codes and Cryptography (Springer): 1–2. 

External links[edit]