Concentration Properties of Extremal Parameters in Random Discrete Structures

Michael Drmota 1
1 Institut für Diskrete Mathematik und Geometrie [Wien]
Abstract : The purpose of this survey is to present recent results concerning concentration properties of extremal parameters of random discrete structures. A main emphasis is placed on the height and maximum degree of several kinds of random trees. We also provide exponential tail estimates for the height distribution of scale-free trees.
Keywords : concentration inequalities random discrete structures random trees
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Communication dans un congrès
Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.1-30, 2006, DMTCS Proceedings
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Michael Drmota. Concentration Properties of Extremal Parameters in Random Discrete Structures. Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.1-30, 2006, DMTCS Proceedings. 〈hal-01184722〉

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