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A One-Cease Supply of Recognized Outcomes, a Bibliography of Papers on the Topic, and Novel Analysis Instructions
Specializing in a really lively space of analysis within the final decade, Combinatorics of Compositions and Words supplies an introduction to the strategies used within the combinatorics of sample avoidance and sample enumeration in compositions and phrases. It additionally presents numerous tools and approaches which are relevant to different areas of enumerative combinatorics.
After a historic perspective on analysis within the space, the textual content introduces methods to unravel recurrence relations, together with iteration and producing features. It then focuses on enumeration of primary statistics for compositions. The textual content goes on to current outcomes on sample avoidance for subword, subsequence, and generalized patterns in compositions and then applies these outcomes to phrases. The authors additionally cowl automata, the ECO technique, producing timber, and asymptotic outcomes by way of random compositions and complicated evaluation.
Highlighting each established and new outcomes, this book explores quite a few tools for enumerating patterns in compositions and phrases. It features a complete bibliography and incorporates the use of the pc algebra methods Maple™ and Mathematica®, in addition to C++ to carry out computations.
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