# Shrikhande S. S.

Infobox Scientist

name = Sharadchandr S. Shrikhande

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birth_date = birth date|1917|10|19|mf=y

birth_place = Sagar, Madhya Pradesh,India

residence =Michigan , US

citizenship =India n

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field =Combinatorics

work_institutions =Mumbai University ,India ,University of North Carolina at Chapel Hill ,Banaras Hindu University ,India

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doctoral_advisor = Dr.Raj Chandra Bose |

known_for =Euler's conjecture

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footnotes =**Sharadchandra Shankar Shrikhande**was born onOctober 19 ,1917 inSagar ,Madhya Pradesh ,India . He is notable for his work along with R. C. Bose and E. T. Parker in their disproof of the famousconjecture made byLeonhard 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 inMichigan , 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 andNavin 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 famousconjecture made byLeonhard Euler dated 1782 that there do not exist two mutually orthogonallatin square s of order 4n + 2 for every n. [*citation|title=Major Mathematical Conjecture Propounded 177 Years Ago Is Disproved|publisher=*] Shrikhande is also known for discovering theNew 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 graph which is used inbalanced incomplete block design s 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 atCentral 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 L_{2}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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2010.*

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