This page contains guidelines for writing a Master's or Bachelor's Thesis at the Chair of Algorithms and Data Structures. Here is long list of example theses which have already been completed at our chair. Note that these theses represent the whole spectrum of grades, from 1,0 (very good) to 4,0 (sufficient). If you are looking for a thesis that is exemplary in a certain respect, ask your supervisor (we cannot disclose this information on a public website).

Elements of a thesis

M.Sc. and B.Sc. theses are supposed to be pieces of scientific work. Here are some guidelines on the typical elements of such work.

Title

As a minimum, a title should be informative. Think of it as the shortest way to say what you did in one short sentence. A secondary criterion is that it is catchy. This is not necessary, however, and sometimes hard to achieve. Also a catchy title should be informative. If you build a system, a typical title is the name of the system, followed by a colon, followed by a short description of what the system does.

Abstract

An abstract should be self-contained and understandable to a non-expert. Think of it as the shortest way to say what you did in one paragraph. As a minimum, it should clarify the problem dealt with in the thesis, and the main results that were obtained. If a short example can be given, it should be given, but this is not always possible. If space permits, add a sentence or two about the underlying techniques and how the thesis advances the state of the art.

Introduction

An introduction should be self-contained and understandable to a non-expert. Think of it as the shortest way to say what you did in a couple of pages. As a minimum, it should clarify the problem dealt with, the motivation for dealing with that problem, the main results, the main challenge and the line of attack used to overcome it, and how it advances the state of the art. In the abstract, you have only one or two sentences (if any) for each of these aspects. In the introduction, you have more space. For the problem statement, it is almost always a good idea to provide a figure or screenshot with a (carefully chosen) example.

One common mistake (and nuisance) is to have relative vague and informal statements in the introduction and then later a separate section with a more formal problem statement. The corresponding reader experience is that upon first reading one either does not understand the introduction or does not find it very useful or both. You can fix this as follows: whatever is relatively easy to understand and can already be defined in the introduction should already be defined in the introduction.

Related Work

Most probably, other researchers have worked on the problem of your thesis, or a strongly related problem, before. Your thesis should include a section which summarizes the most relevant of these works. Typically this is Section 2, right after the Introduction. For each of these works, it should be explained in a nutshell what they do, what they achieve, and how this differs from what you do in your thesis. This should be understandable without the need to actually read the papers referred to. For each related work, think of the description as the shortest way to say this in one paragraph.

When there is a lot of work about a particular topic / problem, it is ok to focus on the most recent / most advanced approaches. Where there is no work on the exact problem from your thesis, the Related Work section should be about work on similar problems and it should explain how these related problems differ. Note that sometimes a problem looks different only on the surface, and the solutions can actually be applied to your problem as well.

Theoretical analysis

Most probably, your work will make use of some algorithms and data structures. Either your own, or such from previous work, or a combination of the two. In any case, provide information about the basic complexity of your algorithms, in particular their running time. Do this also if the the statement appears straightforward to you. For example, the running time of one of your algorithms may obviously be linear in the size of the input data. In any case, say it and provide an argument / proof for it!

Empirical analysis

Most probably, your work involves the implementation of an algorithm or data structure, or of a whole system. Whatever it is, your implementation should be thoroughly evaluated. The kind of evaluation depends on the nature of your problem. If the focus is on results of a particular quality, that should be evaluated. If the focus is on efficiency, running time and (if relevant) space consumption should be evaluated. Even if the focus is on quality, efficiency should be evaluated, too. One always wants to know the running time of a procedure and (if relevant) its space consumption. If there is a pre-processing phase, this should be evaluated separately. If the pre-processing consumes a lot of intermediate disk space or memory, that should also be evaluated. Think about the evaluation from the perspective of someone who wants to use your software in practice. What is it that you would want to know then?

Typically, there are other approaches which can be used (either directly or with small modifications / adjustments) to solve your problem. As a minimum, compare to the best one of these approaches. If there is a variety of principally different approaches, pick the best one for each principle. If there is no solution yet for your problem, think of a simple baseline algorithm (= the straightforward solution) and compare to that. Sometimes there are two or even three simple baseline algorithms. Do your evaluation on at least three different data sets of different kinds and sizes. If the amount of work needed per data set is very large, it is OK to use only two data sets.

Future work

Most probably, your work will leave various open ends. Make a list of what could be done next to improve on what you did. For each item, give a short description of the possible improvement + an idea for how, in principle, it could be achieved. Also give an estimate for the necessary time to realize that improvement (hours, days, weeks, months). Order your list by importance / significance. That is, the thing that should be improved next / gives the biggest improvement should come first.

How to write

English or German

You can write your thesis in German or in English. If you write it in English, more people will read it. Plus, it's a great opportunity to practice writing in English. You will almost certainly need that ability in your later job, so why not start now. If you don't want anyone to read your thesis, write it in French.

How much

A typical question is: how much should I write? My typical answer is: write as much as is necessary to understand what you did, how you were doing it, and all the aspects listed in Section "Elements of a thesis" above. No more, no less. The thesis should be self-contained. That is, for someone with a basic education in computer science, it should not be necessary to read anything else than your thesis in order to understand all the main aspects of your thesis.

How artistic

The most important general rule is: write simple sentences. A simple sentence has the form: subject, predicate, object. If your sentences has two or more verbs, consider splitting it into two simpler sentences. It is rarely necessary to have sentences with more than two verbs. The sentences in this paragraph are good examples for this writing style. Note that this writing style may not be the best when writing a novel. But it is perfect for scientific text, because it is easy to read and follow.

Structure is also very important. A good way to start your write-up is to write down all the section and subsection headers. The names of the headers should be carefully chosen, and they should be consistent in their style.

Every section and every subsection should start with a small introduction that tells the reader what comes next. The following four sentences are an example: "In this section, we will give a high-level description of the algorithm. The algorithm has two phases. In the first phase, ... (Section 3.1). In the second phase, ... (3.2)." Again, note how simple the sentences are.

Consistency is also very important. If you use a particular word to describe something, stick to that word. Variation is maybe nice in a novel. But in scientific work, every single inconsistency makes it harder for the reader. It is also fine to repeat the same word again in the next sentences. In scientific work, it is even good style. For example, in the previous paragraph, it it better to write "The algorithm has two phases" than just "It has two phases". Visual consistency is also important. If you use different fonts, use them with a consistent meaning. If you have multiple tables or figures in your thesis, make sure they have a consistent look.

Bibliography

Make sure that the entries in your bibliography have a consistent style. That is, abbreviate all conferences in the same way or use the full names for all, but do not mix the two styles. Same for author names. Same for capitalization of titles. Same for page numbers. It makes a very careless and untidy impression, if the bibliography entries are inconsistent in their style.

Typical errors

Please avoid at least the following errors.

Hyphens in noun phrases: multi-word noun phrases have a hyphen only if you use them as an adjective. Here is an example: (1) This problem has a large scale. (2) This is a large-scale problem. Putting a hyphen in (1) would be a mistake. Not putting the hyphen in (2) would be a mistake. Understand the purpose of the hyphen. It says what belongs together. In sentence (2), without the hyphen, it would not be clear whether it is a "scale problem" that is large, or whether the problem has a "large scale".

Commas after introductory clauses: there is always a comma after clauses like "However", "In this section", "Therefore", ...

TODO: what else?

Spelling

As a final step, ALWAYS run a spell checker over your write-up. It is very embarrassing indeed if your write-up contains mistakes that any spell checker would have found.

TODO: spell-check this web page.