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osu1122922255.pdf (610.74 KB)
ETD Abstract Container
Abstract Header
5-sparse steiner triple systems
Author Info
Wolfe, Adam J
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1122922255
Abstract Details
Year and Degree
2005, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
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.
Committee
Akos Seress (Advisor)
Pages
196 p.
Subject Headings
Mathematics
Keywords
Steiner triple system
;
anti-mitre
;
5-sparse
;
meager system
;
meager square
;
transitive square
;
transitive Steiner triple system
;
transitive meager square
;
density
;
deleted symmetric square
;
Valek
;
average-free
;
average triple
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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)
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Document number:
osu1122922255
Download Count:
839
Copyright Info
© 2005, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.