Sharadchandra Shankar Shrikhande

Sharadchandra Shankar Shrikhande (born 19 October 1917) is an Indian mathematician with distinguished and well-recognized achievements in combinatorial mathematics. He is notable for his breakthrough work along with R. C. Bose and E. T. Parker 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 any n.[1] Shrikhande's specialty was combinatorics, and statistical designs. Shrikhande graph[2] is used in statistical designs.

Sharadchandra S. Shrikhande
Born (1917-10-19) 19 October 1917 (age 102)
Alma materUniversity of North Carolina, Chapel Hill
Known forEuler's conjecture
Scientific career
InstitutionsUniversity of Mumbai,
University of North Carolina, Chapel Hill,
Banaras Hindu University
Doctoral advisorRaj Chandra Bose

Shrikhande received a Ph.D. in the year 1950 from the University of North Carolina at Chapel Hill under the direction of R. C. Bose. Shrikhande taught at various universities in the USA and in India.[3] Shrikhande was a professor of mathematics at Banaras Hindu University, Banaras and the founding head of the department of mathematics, University of Mumbai and the founding director of the Center of Advanced Study in Mathematics, Mumbai until he retired in 1978. He is a fellow of the Indian National Science Academy, the Indian Academy of Sciences and the Institute of Mathematical Institute, USA.

Shrikhande's son Mohan Shrikhande[4] is a professor of combinatorial mathematics at Central Michigan University in Mt. Pleasant, Michigan.

He turned 100 in October 2017.[5]


  1. ^ Osmundsen, John A. (26 April 1959), Major Mathematical Conjecture Propounded 177 Years Ago Is Disproved, New York Times. Scan of full article.
  2. ^ Shrikhande graph
  3. ^ "Prof. S. S. Shrikhande – An Outstanding Statistician", Statistical Newsletter, XXVIII (3): 3, July–September 2003, archived from the original on 4 January 2008.
  4. ^ M. S. Shrikhande
  5. ^ Nithyanand Rao (12 November 2017). "Celebrating Sharadchandra Shrikhande, the Mathematician Who Disproved Euler". The Wire. Retrieved 17 August 2018.

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