Ernest Tilden Parker

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Ernest Tilden Parker ( 1926 - 1991 ) was an American mathematician.

Parker received his PhD from Ohio State University under Marshall Hall in 1957 (On quadruply transitive groups). He was a professor at the University of Illinois at Urbana-Champaign .

Parker found a counterexample (n = 10) to a conjecture by Euler that no orthogonal Latin squares of the order exist, after Raj Chandra Bose and SS Shrikhande had already succeeded in this at about the same time (n = 22). They found a counterexample to the conjecture for n = 22. In 1960 he showed with Shrikhande and Bose that orthogonal Latin squares exist for all orders . At that time he was with Remington Rand in the UNIVAC department . But he did not find his counter-example through a computer search, but in his free time.

In 1968 he and his student KB Reid refuted an assumption made by Paul Erdős and Leo Moser about tournaments.

Web links

Individual evidence

  1. ↑ Ernest Tilden Parker in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Published in Pacific J. of Mathematics, Volume 9, 1959, pp. 829-836
  3. ↑ ET Parker: ORTHOGONAL LATIN SQUARES. In: Proceedings of the National Academy of Sciences . Volume 45, Number 6, June 1959, pp. 859-862, PMID 16590459 , PMC 222652 (free full text).
  4. ↑ Parker, Construction of some sets of mutually orthogonal latin squares, Proc. AMS, Vol. 10, 1959, pp. 946-949, online
  5. ↑ Bose, Parker, Shrikhande, Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture, Canadian Journal of Mathematics, Volume 12, 1960, pp. 189-203
  6. ↑ Parker, Reid, Disproof of a conjecture of Erdős and Moser on tournaments, "Journal of Combinatorial Theory, Volume 9, 1970, pp. 225-238
personal data
SURNAME Parker, Ernest Tilden
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1926
DATE OF DEATH 1991