Shrikhande S. S.

Infobox Scientist
name = Sharadchandr S. Shrikhande
box_width = 300px


image_width =
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birth_date = birth date|1917|10|19|mf=y
birth_place = Sagar, Madhya Pradesh, India
residence = Michigan, US
citizenship = Indian
nationality =
ethnicity =
field = Combinatorics
work_institutions = Mumbai University, India, University of North Carolina at Chapel Hill, Banaras Hindu University, India
alma_mater =
doctoral_advisor = Dr. Raj Chandra Bose|
known_for = Euler's conjecture
author_abbrev_bot =
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influences =
influenced =
prizes =
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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.

Biography

Shrikhande taught at various universities in the US and in India. [citation|url=http://mospi.nic.in/mospi_stat_news_letter.htm|journal=Statistical Newsletter|date=July-September 2003|volume=XXVIII|issue=3|title=Prof. S. S. Shrikhande – An Outstanding Statistician|page=3.] 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, Vasanti N. Bhat-Nayak and Navin M. Singhi.mathgenealogy|name=Shartchandra S. Shrikhande|id=47278.]

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. [citation|title=Major Mathematical Conjecture Propounded 177 Years Ago Is Disproved|publisher=New York Times|date=April 26, 1959|last=Osmundsen|first=John A.|url=http://select.nytimes.com/gst/abstract.html?res=F50613FB355C1A7B93C4AB178FD85F4D8585F9. [http://www.cecm.sfu.ca/organics/papers/lam/paper/html/NYTimes.html Scan of full article] .] Shrikhande is also known for discovering the Shrikhande graph which is used in balanced incomplete block designs for experiments.

One of his children, [http://www.cst.cmich.edu/units/mth/gradinfo/pp/MTHShrikhande.html Mohan Shrikhande] , is a Professor of Combinatorial Mathematics at Central Michigan University in Mt. Pleasant, Michigan.

Co-authors

Shrikhande's co-authors include Navin M. Singhi,
Vasanti N. Bhat-Nayak,E. T. Parker,Raj Chandra Bose,
Siddani Bhaskara 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, andN. K. Singh.

Shrikhande's Erdős number is 2.

elected publications

*citation | last1 = Bose | first1 = R. C. | last2 = Shrikhande | first2 = S. S.
title = On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order 4"t"+2
journal = Proceedings of the National Academy of Sciences
volume = 45 | issue = 5 | year = 1959 | pages = 734–737
url = http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=222625
.

*citation
url = http://links.jstor.org/sici?sici=0003-4851(197004)41%3A2%3C683%3AAEOWTF%3E2.0.CO%3B2-D
title = An Extension of Wilks' Test for the Equality of Means
first1 = I. | last1 = Olkin | first2 = S. S. | last2 = Shrikhande
journal = The Annals of Mathematical Statistics
volume = 41 | issue = 2 | year = 1970 | pages = 683-687
.

*citation
first1 = Ranjan N. | last1 = Naik
first2 = S. B. | last2 = Rao
first3 = S. S. | last3 = Shrikhande
first4 = N. M. | last4 = Singhi
title = Intersection graphs of "k"-uniform hypergraphs
journal = European J. Combinatorics | volume = 3 | pages = 159–172 | year = 1982
id = MathSciNet | id = 0670849
.

*citation
first1 = S.S. | last1 = Shrikhande
title = The uniqueness of the L2 association scheme
journal = Ann .Math. Statist. | volume = 30 | pages = 781-798 | year = 1959
.

References

External links

* [http://www.win.tue.nl/~aeb/drg/graphs/Shrikhande.html An explanation of the Shrikhande graph] .
* [http://www.oakland.edu/enp/Erdos0 Erdos Number Project]


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