Skip to main content
Log in

The Shrikhande graph

  • General/Article
  • Published:
Resonance Aims and scope Submit manuscript

Abstract

Questions in mathematical statistics led to the discovery of some elegant mathematical structures and the Shrikhande graph is a beautiful example of the case in point. This article is an attempt to discuss the Shrikhande graph along with its connections in algebra, group theory and topology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Suggested Reading

  1. Jyotirmoy Sarkar and Bikas K Sinha, Sudoku squares as experimental designs, Resonance, Vol.20, No.9, pp.788–802, 2015.

    Article  Google Scholar 

  2. A R P Rau, R A Fisher, design theory, and the Indian connection, Journal of Biosciences (Indian Academy of Sciences Publication), Vol.34 Issue 3, pp.353–363, 2009.

    Article  Google Scholar 

  3. C R Rao, Special issue devoted to the memory of R C Bose, Sankhya, 54, 1992.

  4. R C Bose, Autobiographical sketch in Making of Statistician, Ed. J Gani, Springer-Verlag, 1984.

  5. C Godsil and G F Royle, Algebraic graph theory, Springer-Verlag, 2001.

    Book  Google Scholar 

  6. R C Bose, Strongly regular graphs, partial geometries and partially balanced designs, Pacific J. Math. Vol.13, No.2, pp.389–419, 1963.

    Article  Google Scholar 

  7. S S Shrikhande, The uniqueness of the L 2 association scheme, Ann. Math. Stat., 30, pp.781–798, 1959.

    Article  Google Scholar 

  8. A T White, Graphs, groups and surfaces, North-Holland Mathematical Studies, 1984.

    Google Scholar 

  9. A T White, Personal communication.

  10. G Ringel, Map color theorem, Springer-Verlag, 1974.

    Book  Google Scholar 

  11. S S Sane, Rotations of graphs, in: Chapter 9 Combinatorial Topology and Algebra, Lecture Notes on an Instructional Conference, Ramanujan Mathematical Society Lecture Notes number 18, edited by S R Ghorpade, A R Shastri, M K Srinivasan and J K Verma, 2013.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sharad S. Sane.

Additional information

After a long career with Mumbai University, Sharad Sane is now with IIT Bombay. His interests are combinatorial designs and finite geometries. He was also the national coordinator of the Indian Mathematical Olympiad programme from 2009 to 2012.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sane, S.S. The Shrikhande graph. Reson 20, 903–918 (2015). https://doi.org/10.1007/s12045-015-0255-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12045-015-0255-7

Keywords

Navigation