E. T. Parker
Ernest Tilden Parker is a professor emeritus from Ohio State University. He is notable for his breakthrough work along with R. C. Bose and S. S. Shrikhande in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that there do not exist two mutually orthogonal latin squares of order 4n + 2 for every n.[1] He is also well known (with K. B. Reid) on a disproof of a conjecture on tournaments by Erdős and Moser.
Parker received his Ph.D. for his work 'On Quadruply Transitive Groups' submitted to Ohio State University in 1957; his advisor was Marshall Hall, Jr..[2][3]
Selected works
- Bose, R. C.; Shrikhande, S. S.; Parker, E. T. (1960), "Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture", Canadian Journal of Mathematics 12: 189–203, doi:10.4153/CJM-1960-016-5, MR0122729 .
- Reid, K. B.; Parker, E. T. (1970), "Disproof of a conjecture of Erdős and Moser on tournaments", Journal of Combinatorial Theory 9: 225–238, doi:10.1016/S0021-9800(70)80061-8, MR0274328 .
References
- ^ Osmundsen, John A. (April 26, 1959), Major Mathematical Conjecture Propounded 177 Years Ago Is Disproved, New York Times, http://select.nytimes.com/gst/abstract.html?res=F50613FB355C1A7B93C4AB178FD85F4D8585F9 . Scan of full article.
- ^ Ernest Tilden Parker at the Mathematics Genealogy Project.
- ^ Marshall Hall, Jr. (1989), "Mathematical Biography", in Duren, Peter L.; Askey, Richard; Merzbach, Uta C., A Century of mathematics in America, American Mathematical Society, p. 371, ISBN 9780821801246, http://books.google.com/?id=8KnZjdBlw14C&pg=PA371&lpg=PA371&dq=E+T+Parker+mathematics .
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