| Sharadchandr S. Shrikhande | |
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| Born | October 19, 1917 Sagar, Madhya Pradesh, India |
| Residence | India |
| Citizenship | Indian  |
| Fields | Combinatorics |
| Institutions | University of Mumbai, University of North Carolina, Chapel Hill, Banaras Hindu University |
| Alma mater | University of North Carolina, Chapel Hill |
| Doctoral advisor | Raj Chandra Bose |
| Known for | Euler's conjecture |
Sharadchandra Shankar Shrikhande (born on October 19, 1917) is an Indian mathematician of international reputation 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 every n.[1]
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Contribution to mathematics
Shrikhande received his 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 US and in India.[2] Shrikande served as a professor of mathematics at Banaras Hindu University, Banaras. He was head of the department of mathematics, University of Mumbai and the director of the center of advanced study in mathematics, Mumbai since its inception in 1963 until he retired in 1978.
Shrikhande's specialty was combinatorics, statistical designs and graph Theory. Shrikhande is also known for discovering the Shrikhande graph [3] which is used in Statistical designs. His Ph.D. students were Vasanti N. Bhat-Nayak and Navin M. Singhi.[4] His son Mohan[5] is a professor of combinatorial mathematics at Central Michigan University in Mt. Pleasant, Michigan.
Selected publications
- Bose, R. C.; Shrikhande, S. S. (1959), "On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order 4t+2", Proceedings of the National Academy of Sciences 45 (5): 734–737, http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=222625.
- Olkin, I.; Shrikhande, S. S. (1970), "An Extension of Wilks' Test for the Equality of Means", The Annals of Mathematical Statistics 41 (2): 683–687, http://links.jstor.org/sici?sici=0003-4851(197004)41%3A2%3C683%3AAEOWTF%3E2.0.CO%3B2-D.
- Naik, Ranjan N.; Rao, S. B.; Shrikhande, S. S.; Singhi, N. M. (1982), "Intersection graphs of k-uniform hypergraphs", European J. Combinatorics 3: 159–172, MR0670849.
- Shrikhande, S.S. (1959), "The uniqueness of the L2 association scheme", Ann .Math. Statist. 30: 781–798.
See also
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.
- ^ "Prof. S. S. Shrikhande – An Outstanding Statistician", Statistical Newsletter XXVIII (3): 3, July-September 2003, http://mospi.nic.in/mospi_stat_news_letter.htm.
- ^ Shrikhande graph
- ^ Shartchandra S. Shrikhande at the Mathematics Genealogy Project.
- ^ M. S. Shrikhande
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