Enumeration of Decomposable Combinatorial Structures with Restricted Patterns |
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| Authors: | Li Dong Zhicheng Gao Daniel Panario |
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| Institution: | (1) School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada |
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| Abstract: | Decomposable combinatorial structures are studied with restricted patterns. We focus on the decomposable structures in the
exp-log class. Using the method of analysis of singularities introduced by Flajolet and Odlyzko 5], we provide an estimate
for the probability that a decomposable structure of size n has a given restricted pattern. We exemplify with several decomposable structures like permutations and polynomials over
finite fields.
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| Keywords: | decomposable structures restricted pattern labeled and unlabeled structures generating functions exp-log class |
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