Skip to main content
SpringerLink
Log in

S S Shrikhande: The Euler Spoiler

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

An Erratum to this article was published on 18 March 2021

This article has been updated

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Change history

Suggested Reading

  1. R C Bose, On the construction of balanced incomplete block designs, Annals of Eugenics, 9, pp.353–399, 1939.

    Article  Google Scholar 

  2. D S Meek and R G Stanton, Selected Papers of S S Shrikhande, Charles Babbage Research Centre, 1985.

  3. D Raghavarao, Constructions and Combinatorial Problems in Design of Experiments, John Wiley, New York (1971); reprinted Dover Paperback Series, 1989.

    Google Scholar 

  4. G C Rota, Studies in Combinatorics, Mathematical Association of America, 1985.

  5. D R Stinson, Non existence of a pair of orthogonal Latin squares of order six, Journal of Combinatorial Theory, (A) Vol.36, pp.373–376, 1984.

    Article  Google Scholar 

  6. I M Wanless and B S Webb, The existence of Latin squares without orthogonal mates, Designs, Codes and Cryptography, Vol.40, pp.131–135, 2006.

    Article  Google Scholar 

  7. R C Bose, S S Shrikhande and E T Parker, Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler’s conjecture, Canadian Journal of Mathematics, Vol.12, pp.189–203, 1960.

    Article  Google Scholar 

  8. S Chowla, P Erdös and E G Strauss, On the maximal number of pairwise orthogonal Latin squares of a given order, Canad. J. Math., Vol.12, pp.204–208, 1960.

    Article  Google Scholar 

  9. R M Wilson, Concerning the number of mutually orthogonal latin squares, Discrete Mathematics, Vol.9, pp.181–198, 1974.

    Article  Google Scholar 

  10. S S Sane, The Shrikhande graph, Resonance, Vol. 20, No. 10 pp. 903–918, 2015.

    Article  Google Scholar 

  11. B Bagchi, Latin squares, Resonance, Vol. 12, No. 9 pp. 895–902, 2012.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chennai Mathematical Institute, Chennai, 603 103, India

    Sharad S. Sane

Authors
  1. Sharad S. Sane
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sharad S. Sane.

Additional information

After retirement from Mumbai University in 2010, Sharad Sane was at IIT Bombay until he Joined the Chennai Mathematical Institute in 2019. Besides being a distinguished alumnus of the IIT Bombay, he was also a National Coordinator of the Mathematical Olympiad activity. He specialises in combinatorics.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sane, S.S. S S Shrikhande: The Euler Spoiler. Reson 26, 167–176 (2021). https://doi.org/10.1007/s12045-021-1117-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12045-021-1117-0

Keywords

Search

Navigation