S. S. Shrikhande
Encyclopedia
Sharadchandra Shankar Shrikhande (born on October 19, 1917) is an India
n mathematician
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 square
s of order 4n + 2 for every n. Shrikhande's specialty was combinatorics, and statistical designs
. Shrikhande graph
is used in statistical designs.
Shrikhande received a 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 USA and in India.
Shrikhande was a professor of mathematics at Banaras Hindu University
, Banaras and the founding head of the department of mathematics, University of Mumbai
and the founding director of the Center of Advanced Study in Mathematics, Mumbai until he retired in 1978. He is a fellow of the Indian National Science Academy, the Indian Academy of Sciences and the Institute of Mathematical Institute, USA.
Shrikhande's son Mohan Shrikhande is a professor of combinatorial mathematics at Central Michigan University
in Mt. Pleasant
, Michigan
.
India
India , officially the Republic of India , is a country in South Asia. It is the seventh-largest country by geographical area, the second-most populous country with over 1.2 billion people, and the most populous democracy in the world...
n mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
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
E. T. Parker
Ernest Tilden Parker is a professor emeritus from Ohio State University. He is notable for his breakthrough work along with R. C. Bose and S. S. Shrikhande in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that there do not exist two mutually orthogonal latin squares of...
in their disproof of the famous conjecture made by Leonhard Euler
Leonhard Euler
Leonhard Euler was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion...
dated 1782 that there do not exist two mutually orthogonal latin square
Latin square
In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column...
s of order 4n + 2 for every n. Shrikhande's specialty was combinatorics, and statistical designs
Design of experiments
In general usage, design of experiments or experimental design is the design of any information-gathering exercises where variation is present, whether under the full control of the experimenter or not. However, in statistics, these terms are usually used for controlled experiments...
. Shrikhande graph
Shrikhande graph
In the mathematical field of graph theory, the Shrikhande graph is a named graph discovered by S. S. Shrikhande in 1959. It is a strongly regular graph with 16 vertices and 48 edges, with each vertex having a degree of 6.-Properties:...
is used in statistical designs.
Shrikhande received a Ph.D. in the year 1950 from the University of North Carolina
University of North Carolina
Chartered in 1789, the University of North Carolina was one of the first public universities in the United States and the only one to graduate students in the eighteenth century...
at Chapel Hill under the direction of R. C. Bose. Shrikhande taught at various universities in the USA and in India.
Shrikhande was a professor of mathematics at Banaras Hindu University
Banaras Hindu University
Banaras Hindu University is a public university located in Varanasi, India and is one of the Central Universities of India. It is the largest residential university in Asia, with over 24,000 students in its campus. BHU was founded in 1916 by Pandit Madan Mohan Malviya under the Parliamentary...
, Banaras and the founding head of the department of mathematics, University of Mumbai
University of Mumbai
The University of Mumbai , is a state university located in Mumbai, Maharashtra, India. It was known as the University of Bombay until 1996 when the city of Bombay was renamed as Mumbai. The affiliated colleges of the university are spread throughout the city of Mumbai and four coastal districts in...
and the founding director of the Center of Advanced Study in Mathematics, Mumbai until he retired in 1978. He is a fellow of the Indian National Science Academy, the Indian Academy of Sciences and the Institute of Mathematical Institute, USA.
Shrikhande's son Mohan Shrikhande is a professor of combinatorial mathematics at Central Michigan University
Central Michigan University
Central Michigan University is a public research university located in Mount Pleasant in the U.S. state of Michigan...
in Mt. Pleasant
Mount Pleasant, Michigan
Mount Pleasant is a city in the U.S. state of Michigan and the county seat of Isabella County. As of the 2000 census, the city population was 25,946. The 2008 census estimate places the population at 26,675....
, Michigan
Michigan
Michigan is a U.S. state located in the Great Lakes Region of the United States of America. The name Michigan is the French form of the Ojibwa word mishigamaa, meaning "large water" or "large lake"....
.