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mechanical way to algorithms for SDP with proofs of convergence and polynomial time complexity also carrying over in a similar fashion. Finally we study the significance of these results in a variety of combinatorial optimization problems including the general 0-1 integer programs, the maximum clique

We describe a few applications of semide nite programming in combinatorial optimization.

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The field of metaheuristics for the application to combinatorial optimization problems is a rapidly growing field of research. This is due to the importance of combinatorial optimization problems for the scientific as well as the industrial world. We give a survey of the nowadays most important

A multi-disciplinary research centre focussed on understanding, modelling, quantification, management and control of RISK

via Cross-Entropy

(Austin, Texas)

A biometric template contains biometric traits belonging to a certain person, like e.g. fingerprints or the facial structure. Especially for verification purposes such human characteristics become ever more important. In order to recognize a person by means of his biometric traits a reference template must be available, which can be stored in a database and also on a RFID chip. With regard to mobile storage media, and thus only a small amount of memory, there is a need for the compression of biometric templates. This compression may be lossy, possible errors in the recognition however should be kept as small as possible. In this Master's Thesis in particular a new approach for the compression of fingerprint templates is developed. These templates contain information about the positions and orientations of the so-called minutiae, i.e. the endings and bifurcations of the dermal papillae. In turn this information is represented in the form of points of a d-dimensional coordinate system, and thus can be conceived as nodes of a graph. Hence, the focus of this thesis lies on the study of graph-based approaches. The basic idea is to store the difference vectors between always two points instead of the minutiae. For this purpose directed spanning trees allow an efficient encoding. Hence in the course of this thesis different approaches based on specific spanning trees, like e.g. the directed minimum spanning tree, the directed minimum label spanning tree and the directed weight balanced spanning tree, have been studied, and a compression of up to approximately 20 % could be achieved.