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5-sparse steiner triple systems

Wolfe, Adam J

Abstract Details

2005, Doctor of Philosophy, Ohio State University, Mathematics.
Steiner triple systems are known to exist for orders $n equiv 1,3 mod 6$. There are many known constructions for infinite classes of Steiner triple systems. However, Steiner triple systems that lack prescribed configurations are harder to find. This thesis resolves the problem of determining the spectrum of orders of anti-mitre Steiner triple systems and gives a proof that the spectrum of orders of 5-sparse Steiner triple systems has arithmetic density 1 as compared to the admissible orders. Several anti-mitre and 5-sparse Steiner triple system constructions are provided as well.
Akos Seress (Advisor)
196 p.

Recommended Citations

Citations

  • Wolfe, A. J. (2005). 5-sparse steiner triple systems [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1122922255

    APA Style (7th edition)

  • Wolfe, Adam. 5-sparse steiner triple systems. 2005. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1122922255.

    MLA Style (8th edition)

  • Wolfe, Adam. "5-sparse steiner triple systems." Doctoral dissertation, Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1122922255

    Chicago Manual of Style (17th edition)