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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Tricyclic Steiner Triple Systems with 1-Rotational Subsystems.

Tran, Quan Duc 14 August 2007 (has links) (PDF)
A Steiner triple system of order v, denoted STS(v), is said to be tricyclic 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 STS(v) when one of the cycles is of length one. In this case, the STS(v) will contain a subsystem which admits an automorphism consisting of a fixed point and a single cycle. The subsystem is said to be 1-rotational.
Tricyclic
Bicyclic
1-Rotational System
Steiner Triple System
Graph Automorphism
Graph Decomposition
Discrete Mathematics and Combinatorics
Mathematics
Physical Sciences and Mathematics

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