Date of Award
2020
Document Type
Open Access Master's Thesis
Degree Name
Master of Science in Mathematical Sciences (MS)
Administrative Home Department
Department of Mathematical Sciences
Advisor 1
Melissa Sue Keranen
Committee Member 1
Donald Kreher
Committee Member 2
Soner Onder
Abstract
A Partial Steiner Triple system (X, T) is a finite set of points C and a collection T of 3-element subsets of C that every pair of points intersect in at most 1 triple. A 3-class regular PSTS (3-PSTS) is a PSTS where the points can be partitioned into 3 classes (each class having size m, n and p respectively) such that no triple belongs to any class and any two points from the same class occur in the same number of triples (a, b and c respectively). The 3-PSTS is said to be uniform if m = n = p. In this thesis, we have mostly focused on the existence of uniform 3-PSTS with uniform degrees (a = b = c).
Recommended Citation
Parida, Prangya Rani, "UNIFORM THREE-CLASS REGULAR PARTIAL STEINER TRIPLE SYSTEMS WITH UNIFORM DEGREES", Open Access Master's Thesis, Michigan Technological University, 2020.