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SHRIKHANDE GRAPH

  • Shrikhande graph
  • Undirected graph named after S. S. Shrikhande

    mathematical field of graph theory, the Shrikhande graph is a graph discovered by S. S. Shrikhande in 1959. It is a strongly regular graph with 16 vertices

    Shrikhande graph

    Shrikhande graph

    Shrikhande_graph

  • Sharadchandra Shankar Shrikhande
  • Indian mathematician (1917–2020)

    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

    Sharadchandra_Shankar_Shrikhande

  • Rook's graph
  • Graph of chess rook moves

    strongly regular graph, the Shrikhande graph, with the same parameters as the 4 × 4 {\displaystyle 4\times 4} rook's graph. The Shrikhande graph obeys the same

    Rook's graph

    Rook's graph

    Rook's_graph

  • Line graph
  • Graph representing edges of another graph

    its parameters with the Shrikhande graph. When both sides of the bipartition have the same number of vertices, these graphs are again strongly regular

    Line graph

    Line_graph

  • Strongly regular graph
  • Concept in graph theory

    coincide with those of the Shrikhande graph, but the two graphs are not isomorphic. (The vertex neighborhood for the Shrikhande graph is a hexagon, while that

    Strongly regular graph

    Strongly regular graph

    Strongly_regular_graph

  • Graph automorphism
  • Mapping a graph onto itself without changing edge-vertex connectivity

    In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving

    Graph automorphism

    Graph_automorphism

  • List of graphs
  • graph Cameron graph Petersen graph Hall–Janko graph Hoffman–Singleton graph Higman–Sims graph Paley graph of order 13 Shrikhande graph Schläfli graph

    List of graphs

    List_of_graphs

  • Distance-transitive graph
  • Graph where any two nodes of equal distance are isomorphic

    graphs that are distance-regular but not distance-transitive. The smallest distance-regular graph that is not distance-transitive is the Shrikhande graph

    Distance-transitive graph

    Distance-transitive graph

    Distance-transitive_graph

  • Dyck graph
  • the Shrikhande graph. It can be visualized as net, a 4 by 4 array of hexagons, where left-right and top-bottom wrap into a flat torus. The Dyck graph is

    Dyck graph

    Dyck graph

    Dyck_graph

  • List of graphs by edges and vertices
  • the graph is planar and F indicates that the graph is not planar. Wikimedia Commons has media related to Graphs by number of vertices. See also Graph theory

    List of graphs by edges and vertices

    List_of_graphs_by_edges_and_vertices

  • Integral graph
  • the Shrikhande graph and the Hoffman graph are integral. A regular graph is periodic if and only if it is an integral graph. A walk-regular graph that

    Integral graph

    Integral graph

    Integral_graph

  • List of Marathi people in science, engineering and technology
  • Shrikhande – Is an Indian mathematician with distinguished and well-recognized achievements in combinatorial mathematics, known for Shrikhande graph M

    List of Marathi people in science, engineering and technology

    List_of_Marathi_people_in_science,_engineering_and_technology

  • Forbidden graph characterization
  • Describing a family of graphs by excluding certain (sub)graphs

    S2CID 9173731 Naik, Ranjan N.; Rao, S. B.; Shrikhande, S. S.; Singhi, N. M. (1982), "Intersection graphs of k-uniform hypergraphs", European Journal

    Forbidden graph characterization

    Forbidden graph characterization

    Forbidden_graph_characterization

  • Line graph of a hypergraph
  • Generalization of line graphs to hypergraphs

    characterization of Krausz type for the line graphs of k-uniform linear hypergraphs for any k ≥ 3 was given by Naik, Rao, Shrikhande, and Singhi. At the same time,

    Line graph of a hypergraph

    Line_graph_of_a_hypergraph

  • Chang graphs
  • exceptions, every line graph of a complete graph is uniquely determined by its parameters as a strongly regular graph. Shrikhande graph, a similar exception

    Chang graphs

    Chang_graphs

  • List of Indian inventions and discoveries
  • Indian inventions

    Indian math student S. P. Sundaram. Shrikhande graph – Graph invented by the Indian mathematician S.S. Shrikhande in 1959. Standard monomial theory, C

    List of Indian inventions and discoveries

    List_of_Indian_inventions_and_discoveries

  • Vasanti N. Bhat-Nayak
  • Indian mathematician (1938–2009)

    dissertation Some New Results in PBIBD Designs and Combinatorics. S. S. Shrikhande was her advisor. After completing her doctorate, she remained on the faculty

    Vasanti N. Bhat-Nayak

    Vasanti_N._Bhat-Nayak

  • B-coloring
  • In graph theory, a b-coloring of a graph is a coloring of the vertices where each color class contains a vertex that has a neighbor in all other color

    B-coloring

    B-coloring

    B-coloring

  • Deaths in April 2020
  • Virginia (1990–1992). Sharadchandra Shankar Shrikhande, 102, Indian mathematician, developer of Shrikhande graph. Milt Sunde, 78, American football player

    Deaths in April 2020

    Deaths_in_April_2020

  • Navin M. Singhi
  • Indian mathematician (born 1949)

    earned a Ph.D. (1974) from the University of Mumbai, his advisor was S. S. Shrikhande. Professor Singhi is a Fellow of the Indian National Science Academy.

    Navin M. Singhi

    Navin_M._Singhi

  • Raj Chandra Bose
  • Indian American mathematician and statistician (1901-1987)

    graph and started a systematic study of difference sets to construct symmetric block designs. He was notable for his work along with S. S. Shrikhande

    Raj Chandra Bose

    Raj_Chandra_Bose

  • S. B. Rao
  • Indian mathematician (born 1943)

    completing his Ph.D., he moved to the University of Mumbai to work with S. S. Shrikhande. At the same time, he visited King's College, Aberdeen to work with Crispin

    S. B. Rao

    S._B._Rao

  • Mutually orthogonal Latin squares
  • Mathematical problem

    important work in combinatorics. In early 1959, Raj Chandra Bose and S. S. Shrikhande constructed some counterexamples (dubbed the Euler spoilers) of order

    Mutually orthogonal Latin squares

    Mutually_orthogonal_Latin_squares

  • Harish-Chandra Research Institute
  • Indian university and research institute

    Sharadchandra Shankar Shrikhande joined the institute as its director in January 1983. The institute was facing financial difficulties, and Shrikhande sought DAE

    Harish-Chandra Research Institute

    Harish-Chandra_Research_Institute

  • List of incomplete proofs
  • for any oddly even number n ≡ 2 (mod 4). In 1959, R. C. Bose and S. S. Shrikhande constructed counterexamples of order 22. Then E. T. Parker found a counterexample

    List of incomplete proofs

    List_of_incomplete_proofs

  • Combinatorial design
  • Symmetric arrangement of finite sets

    ISBN 978-0-88385-000-8 {{citation}}: ISBN / Date incompatibility (help) Shrikhande, S.S.; Bhat-Nayak, Vasanti N. (1970), "Non-isomorphic solutions of some

    Combinatorial design

    Combinatorial_design

  • Block design
  • Structure in combinatorial mathematics

    51 (2): 4434–4450. doi:10.1080/03610926.2020.1814816. S2CID 225335042. Shrikhande, S.S.; Bhat-Nayak, Vasanti N. (1970), "Non-isomorphic solutions of some

    Block design

    Block_design

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