Tricyclic Steiner Triple Systems with 1-Rotational Subsystems.

<p>A Steiner triple system of order <em>v</em>, denoted <em>STS</em>(<em>v</em>), is said to be <em>tricyclic</em> if it admits an automorphism whose disjoint cyclic decomposition consists of three cycles. In this thesis we give necessary and sufficient conditions for the existence of a tricyclic <em>STS</em>(<em>v</em>) when one of the cycles is of length one. In this case, the <em>STS</em>(<em>v</em>) will contain a subsystem which admits an automorphism consisting of a fixed point and a single cycle. The subsystem is said to be 1-<em>rotational</em>.</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2007

Author dc:creator

• Tran, Quan Duc

• Tricyclic
• Bicyclic
• 1-Rotational System
• Steiner Triple System
• Graph Automorphism
• Graph Decomposition
• Discrete Mathematics and Combinatorics
• Mathematics
• Physical Sciences and Mathematics

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/2102

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-3463