Date of Award


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


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).