S. S. Shrikhande
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| Sharadchandr S. Shrikhande | |
| Born | October 19, 1917 Sagar, Madhya Pradesh, India |
|---|---|
| Residence | Michigan, US |
| Citizenship | India |
| Fields | Combinatorics |
| Institutions | Mumbai University, India, University of North Carolina at Chapel Hill, Banaras Hindu University, India |
| Doctoral advisor | Dr. Raj Chandra Bose |
| Known for | Euler's conjecture |
Sharadchandra Shankar Shrikhande was born on October 19, 1917 in Sagar, Madhya Pradesh, India. He is notable for his work along with R. C. Bose and E. T. Parker in their disproof of the famous conjecture made by Leonhard Euler in 1782.
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[edit] Biography
Shrikhande taught at various universities in the US and in India.[1] Currently (2008), he resides in Michigan, US. He is father of four children, and has five grandchildren, and three great grandchildren.
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 Ph.D. students were S. Bhagavan Das, Vasanthi N. Bhat-Nayak and Navin M. Singhi.[2]
[edit] Contributions to mathematics
His specialty was combinatorics and statistical designs. He is notable for his 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.[3] Shrikhande is also known for discovering the Shrikhande graph which is used in balanced incomplete block designs for experiments.
One of his children, Mohan Shrikhande, is a Professor of Combinatorial Mathematics at Central Michigan University in Mt. Pleasant, Michigan.
[edit] Co-authors
Shrikhande's co-authors include Navin Singhi, Vasanthi Bhat-Nayak, E. T. Parker, Raj Chandra Bose, Siddani Rao, Ranjan Naik, Sharad Sane, N. C. Jain, D. Raghava Rao, S. Bhagavan Das, W. H. Clatworthy, W. B. Taylor, H. Hartley, Olkin, I, W. Hoeffdig, and N. K. Singh.
[edit] 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.
[edit] References
- ^ “Prof. S. S. Shrikhande – An Outstanding Statistician”, Statistical Newsletter XXVIII (3): 3, July-September 2003, <http://mospi.nic.in/mospi_stat_news_letter.htm>.
- ^ Shartchandra S. Shrikhande at the website of the Mathematics Genealogy Project.
- ^ 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.
