VGU RESEARCH REPOSITORY
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Title: | Right-justified characterization for generating regular pattern avoiding permutations | Authors: | Do Phan Thuan Tran Thi Thu Huong Vajnovszki Vincen |
Keywords: | c-regular patterns;Exhaustive generating;Pattern avoiding permutations;Right-justified patterns;Regular patterns;Variable length patterns | Issue Date: | 2017 | Source: | https://macis2017.sba-research.org/ | Conference name: | The 7th international conference on Mathematical Aspects of Computer and Information Sciences (MACIS) | Abstract: | ECO-method and its corresponding succession rules allow to recursively define and construct combinatorial objects. The induced generating trees can be coded by corresponding pattern avoiding permutations. We refine succession rules by using succession functions in case when avoided patterns are regular or c-regular. Although regular patterns are hard to be recognized in general, we give a characterization for its right-justified property which is a prerequisite in the definition of the regular pattern. Based on this characterization, we show the (c-)regularity for various classes of permutations avoiding sets of patterns with variable lengths. Last, the technique of succession functions permits to construct general recursive generating models for classes of (c-) regular pattern avoiding permutations, which are constant amortized time for all classes mentioned in the paper. |
Duration: | 14-17/11/2017 | Conference venue: | Vienna, Austria | URI(1): | http://epub.vgu.edu.vn/handle/dlibvgu/280 |
Appears in Collections: | Conference papers |
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