Sharadchandra Shankar Shrikhande
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Indian mathematician
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Sharadchandra Shankar Shrikhandemathematics Degrees
Mathematics
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#1663
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Combinatorics
#35
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#39
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Measure Theory
#2792
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#3330
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Mathematics
Why Is Sharadchandra Shankar Shrikhande Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sharadchandra Shankar Shrikhande was an Indian mathematician with notable achievements in combinatorial mathematics. He was 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 squares of order 4n + 2 for any n. Shrikhande's specialties were combinatorics and statistical designs. The Shrikhande graph is used in statistical design.
Sharadchandra Shankar Shrikhande's Published Works
Published Works
- Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture (1960) (372)
- On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler (1960) (118)
- The Uniqueness of the $\mathrm{L}_2$ Association Scheme (1959) (96)
- ON THE FALSITY OF EULER'S CONJECTURE ABOUT THE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t + 2. (1959) (89)
- On the construction of group divisible incomplete block designs (1953) (72)
- Generalized Hadamard Matrices and Orthogonal Arrays of Strength Two (1964) (71)
- The uniqueness of the L_2 association scheme (1958) (64)
- A Note on a Result in the Theory of Code Construction (1959) (59)
- Affine resolvable balanced incomplete block designs: A survey (1976) (48)
- Designs for two-way elimination of heterogeneity (1951) (47)
- A METHOD OF CONSTRUCTION OF INCOMPLETE BLOCK DESIGNS (1963) (45)
- On a Characterization of the Triangular Association Scheme (1959) (45)
- A note on mutually orthogonal latin squares (1961) (43)
- On the Composition of Balanced Incomplete Block Designs (1960) (42)
- Geometric and pseudo-geometric graphs (q2+1,q+1,1) (1972) (41)
- On the Dual of Some Balanced Incomplete Block Designs (1952) (36)
- AFFINE α-RESOLVABLE INCOMPLETE BLOCK DESIGNS (1965) (35)
- Graphs in which each pair of vertices is adjacent to the same number d of other vertices (1969) (29)
- On a two-parameter family of balanced incomplete block designs (1962) (25)
- Intersection Graphs of k-uniform Linear Hypergraphs (1982) (25)
- Embedding the complement of an oval in a projective plane of even order (1973) (19)
- ON A METHOD OF CONSTRUCTING SYMMETRICAL BALANCED INCOMPLETE BLOCK DESIGNS (1962) (19)
- Contributions to statistics (1965) (19)
- Bounds for the distribution function of a sum of independent, identically distributed random variables (1955) (18)
- Baer Subdesigns of Symmetric Balanced Incomplete Block Design (1975) (17)
- The Non-Existence of Certain Affine Resolvable Balanced Incomplete Block Designs (1953) (15)
- Incidence matrices and inequalities for combinatorial designs (2002) (15)
- The Impossibility of Certain Symmetrical Balanced Incomplete Block Designs (1950) (15)
- Non-Existence of Some Unsymmetrical Partially Balanced Incomplete Block Designs (1963) (14)
- A Survey of Combinatorial Theory (2014) (14)
- Embedding of quasi-residual designs (1974) (13)
- A Note on Incomplete Block Designs with Row Balance (1953) (13)
- Non-isomorphic solutions of some balanced incomplete block designs. I (1970) (11)
- A note on embedding of orthogonal arrays of strength two (1979) (10)
- The non-existence of some partially balanced incomplete block designs with latin square type association scheme (1962) (9)
- Nonisomorphic Solutions of pseudo‐(3.5,2) and pseudo‐(3,6,3) graphs (1970) (9)
- A Reciprocity Relation for t-Designs (1987) (7)
- Maximal arcs in designs (1985) (7)
- Embedding of orthogonal arrays of strength two and deficiency greater than two (1979) (6)
- On generalised quasi-residual designs (1987) (5)
- Cyclic Solutions of Symmetrical Group Divisible Designs. (1953) (5)
- Intersection Graphs of k-Uniform Hypergraphs (1980) (4)
- Strongly Regular Graphs and Symmetric 3-Designs (1973) (4)
- An Extension of Wilks' Test for the Equality of Means (1970) (4)
- Experimental Designs and Combinatorial Systems Associated with Latin Squares and Sets of Mutually Orthogonal Latin Squares (1970) (4)
- Seidel-equivalence of strongly regular graphs (1968) (4)
- Some further constructions for G_2(d) graphs (1969) (3)
- Designs, adjacency multigraphs and embeddings: A survey (1981) (3)
- Relation between certain incomplete block designs (1958) (3)
- On the falsity of Euler's (1959) (3)
- THE SHRIKHANDE GRAPH (2007) (2)
- Affine Resolvable Balanced Incomplete Block Designs and Non-Singular Group Divisible Designs (1954) (2)
- Contributions to statistics : presented to Professor P.C. Mahalanobis on the occasion of his 70th birthday (1963) (2)
- Seidel-equivalence inLB3(6) graphs (1972) (2)
- Seidel-equivalence inLB3(6) graphs (1971) (1)
- Non-Existence of Some Unsymmetrical Partially Balanced Incomplete Block Designs: Corrigendum (1970) (1)
- Combinatorics and applications : proceedings of the Seminar on Combinatorics and Applications in honour of S.S. Shrikhande, held at the Indian Statistical Institute, 14-17 December 1982 (1984) (1)
- Orthogonal Latin squares and Eulers conjecture (1960) (1)
- Graphs derivable from L 3 (5) graphs (1971) (1)
- Cyclic Solutions of Symmetrical Group Divisible Designs (1954) (0)
- R.C. Bose memorial conference Fort collins, Colorado (1998) (0)
- ON A CHARACTERIZATION OF THE TRIANGULAR (2016) (0)
- The Impossibility of Certain Symmetrical Balanced Incomplete Block Designs (2021) (0)
- On a problem of Erdős and Larson (1985) (0)
- My Haunted House Experience (2015) (0)
- S?IDEL-EQUIVALENCE OF STRONGLY REGULAR GRAPHS1 (2016) (0)
- Apparition of the Gardens at UVic (2017) (0)
- On the construction of pairwise orthogonal sets of Latin squares and the falsity of a conjecture of Euler. II (1959) (0)
- A Note on Minimum Distance Binary Codes (1962) (0)
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