Shrikhande S. S.

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

image_width =
caption =
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 =
author_abbrev_zoo =
influences =
influenced =
prizes =
footnotes =

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.


Shrikhande taught at various universities in the US and in India. [citation|url=|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= [ 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, [ Mohan Shrikhande] , is a Professor of Combinatorial Mathematics at Central Michigan University in Mt. Pleasant, Michigan.


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 =

url =
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

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

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


External links

* [ An explanation of the Shrikhande graph] .
* [ Erdos Number Project]

Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Shrikhande graph — infobox graph name = Shrikhande graph image caption = The Shrikhande graph drawn symmetrically. namesake = S. S. Shrikhande vertices = 16 edges = 48 chromatic number = chromatic index = properties = Strongly regularThe Shrikhande graph is a named …   Wikipedia

  • Graphe de Shrikhande — Représentation du graphe de Shrikhande Nombre de sommets 16 Nombre d arêtes 48 Distribution des degrés 6 régulier Rayon …   Wikipédia en Français

  • Line graph of a hypergraph — The line graph of a hypergraph is the graph whose vertex set is the set of the hyperedges of the hypergraph, with two edges adjacent when they have nonempty intersection. In other words, the line graph of a hypergraph is the intersection graph of …   Wikipedia

  • Raj Chandra Bose — (June 19, 1901 October 31, 1987) Indian mathematician and statistician best known for his work in design theory and the theory of error correcting codes in which the class of BCH codes is partly named after him. He was notable for his work along… …   Wikipedia

  • Латинский квадрат — n го порядка  таблица L=(lij) размеров n × n, заполненная n элементами упорядоченного множества M таким образом, что в каждой строке и в каждом столбце таблицы каждый элемент из M встречается в точности один раз. Пример латинского квадрата 3 …   Википедия

  • Navin M. Singhi — N. M. Singhi Born 1949 Citizenship Indian …   Wikipedia

  • Graeco-Latin square — Orthogonal Latin squares of order 3 Orthogonal Latin squares of order 5 In mathematics, a Graeco Latin square or Euler square or orthogonal Latin squares of order n over two …   Wikipedia

  • CRKL — V crk sarcoma virus CT10 oncogene homolog (avian) like, also known as CRKL, is a human gene. PBB Summary section title = summary text = v CRK avian sarcoma virus CT10 homolog like contains one SH2 domain and two SH3 domains. CRKL has been shown… …   Wikipedia

  • PIK3R2 — Phosphoinositide 3 kinase, regulatory subunit 2 (beta) Rendering based on PDB 2KT1 …   Wikipedia

  • combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.