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This volume constitutes the refereed proceedings of the 15th International Computing and Combinatorics Conference, COCOON 2009, held in New York, NY, USA in July 2009. The 51 revised extended abstracts presented were carefully reviewed and selected from 125 submissions. The papers are organized in topical sections on algorithmic game theory and coding theory, algorithms and data structures, graph drawing, algorithms and data structures, cryptography and security, algorithms, computational geometry, approximation algorithms, computational biology and bioinformatics, sampling and learning, complexity and computability, probabilistic analysis, and algorithms and data structures.

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