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Lambda designs for lambda less than 60

Puliyambalath, Naushad Pasha
http://rave.ohiolink.edu/etdc/view?acc_num=osu1253556251

Abstract Details

2009, Doctor of Philosophy, Ohio State University, Mathematics.
Ryser and Woodall’s lambda design conjecture states that each lambda design can be obtained from a symmetric design by certain complementation procedure. Ivan Weisz proved this conjecture for lambda less than 35. In this thesis we extent the validity of the conjecture to all lambda less than 60 except possibly for (45, -3, 6), (54, -22, 4) and (55, -19, 12) for the tuple (lambda, d, rho).
Akos Seress (Advisor)
Neil Robertson (Committee Member)
Stephen Milne (Committee Member)
Carter Findley (Other)
209 p.
Mathematics
lambda-design; block design; Ryser-Woodall conjecture; lambda design conjecture; design theory; Kramer; Shrikhande; Sighi

Recommended Citations

Citations

  • Puliyambalath, N. P. (2009). Lambda designs for lambda less than 60 [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1253556251

    APA Style (7th edition)

  • Puliyambalath, Naushad. Lambda designs for lambda less than 60. 2009. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1253556251.

    MLA Style (8th edition)

  • Puliyambalath, Naushad. "Lambda designs for lambda less than 60." Doctoral dissertation, Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1253556251

    Chicago Manual of Style (17th edition)

osu1253556251
693
© 2009, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.