TL;DR
This paper provides a comprehensive survey of permutation classes, summarizing key concepts, classifications, and enumerative techniques relevant for researchers in combinatorics.
Contribution
It offers an organized overview of permutation classes, highlighting recent developments and open problems in the field.
Findings
Summarizes main types of permutation classes
Highlights recent enumeration results
Identifies open research directions
Abstract
This is a survey on permutation classes for the upcoming book Handbook of Enumerative Combinatorics.
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Taxonomy
Topicssemigroups and automata theory · graph theory and CDMA systems · Advanced Algebra and Logic