The list is by no means exhaustive.
If you a potential advisor in mind, that person may well have other ideas. Or you may even have your own idea for a project. We encourage this route as well, but please be aware that this will put some additional responsibility on you to identify sources.
For further information, see Bruce Peterson. The Four Color Theorem For many years, perhaps the most famous unsolved problem in mathematics asked whether every possible map on the surface of a sphere could be colored in such a way that any two adjacent countries were distinguishable using only four colors.
It is easy to produce maps requiring at least four colors, but the proof that four colors are always sufficient did not appear until Topics for a thesis would include the history of the problem, including the mistakes made in early "proofs", extension of the problem to more complicated surfaces what for instance happens if the maps are drawn on the surface of an inner tube?
The proof itself marks a milestone in mathematics in that it is readily understandable, but impossible to check because it involves computer verification of an enormous number of special cases.
That is, anyone can check any individual step, but no one can check them all. The thesis would not involve computer work.
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For additional information, see Bruce Peterson. Additive Number Theory We know a good deal about the multiplicative properties of the integers -- for example, every integer has a unique prime decomposition.
For instance, in how many ways can we write an integer as the sum of two squares? How many ways can we write the number 1 as the sum of three cubes? Is every number the sum of two primes Goldbach's conjecture? For related ideas, see Waring's Problem topic This theorem has recently been proved by Andrew Wiles of Princeton University.
Mersenne Primes and Perfect Numbers Numbers like 6 and 28 were called perfect by Greek mathematicians and numerologists since they are equal to the sum of their proper divisors e. Since then about B. There still remain many open questions, for example, do there exist any odd perfect numbers?
Research could include some interesting computer work if desired. Recent results indicate that any "reasonable" voting procedure must either be dictatorial or subject to strategic manipulation.
Many "possibility" theorems have been proved for voting mechanisms which satisfy relaxed versions of Arrow's axioms. For further information, see Mike Olinick.Graph Theory thesis writing service to help in custom writing a master's Graph Theory thesis for a master thesis degree.
Bachelor and Master Thesis Topics in Graph Theory The Institute of Optimization and Discrete Mathematics o ers various research topics in graph theory for Bachelor and Master Thesis.
The aim of the research is to investigate structural, enumerative and algorithmic aspects of graphs, hy-pergraphs and random graphs. Master Thesis. Research Projects. Joint Projects & Networks. Publications. Report Research activity Projects for Master students.
Master Thesis. Research Projects. Joint Projects & Networks. Publications. Report Research activity Projects for Master students. Some contributions from Graph Theory to the design and study of Large and Fault-tolerant Interconnection Networks. Doctoral Thesis, Univ. Politècnica de Catalunya, Barcelona, Abr. This thesis considers a number of problems in graph theory. A graph is an abstract mathematical structure formed by a set of vertices and edges joining pairs of those. Reinforcement Learning in Graph Theory Master’s Thesis Proposal Joran Michiels June 11, Machine learning seem to have only been used scarcely in theoretical.
Some contributions from Graph Theory to the design and study of Large and Fault-tolerant Interconnection Networks. Doctoral Thesis, Univ. Politècnica de Catalunya, Barcelona, Abr.
GRAPH THEORY BASED ROUTING ALGORITHMS by Bo Wu A Thesis Submitted to the Faculty of The Graduate College in partial fulfillment of the requirements for the Degree of Master of Science Department of Computer Science Western Michigan University Kalamazoo, Michigan April Reproduced with permission of the copyright owner.
The later part of last century has witnessed intense activity in graph theory. De-velopment of computer science boost up the research work in the ﬁeld. There are many interesting ﬁelds of research in graph theory. Some of them are domination in graphs, topological graph theory, fuzzy graph theory and labeling of discrete structures.
What graduate program is strong on Graph Theory? Update Cancel. ad by Toptal. Hire the top 3% of machine learning specialists, on demand. Algebraic Graph Theory: Waterloo, University of Western Australia, Tilburg University, CWI Amsterdam, Queen Mary University of London.