MPhil Thesis Defence "Combinatorial Properties of Prefix-free trees with some Regular Constraints" By Mr. Siu Yin Yeung Abstract In this thesis we discuss how to construct binary prefix-free codes for n equiprobable symbols when the codewords are constrained to all be in a given regular language L. Previous work on this problem had restricted itself to regular languages L that could be accepted by Deterministic Finite Automatons (DFA) with only ONE accepting state. In this thesis we (1) discuss some general structural principles that hold when L is ANY DFA and (2) Provide a full analysis when L is accepted by a DFA that has TWO accepting states. Date: Tuesday, 27 January 2004 Time: 2:00p.m.-4:00p.m. Venue: Room 2406 Lifts 17-18 Committee Members: Prof. Mordecai Golin (Supervisor) Prof. Rudolf Fleischer (Chairman) Prof. Cunsheng Ding **** ALL are Welcome ****