Permutation Patterns
Pattern avoidance, the Stanley–Wilf conjecture, and Marcus–Tardos.
Permutation Patterns. Pattern avoidance, the Stanley–Wilf conjecture, and Marcus–Tardos.
Foundations and canonical references
The standard treatments of permutation patterns approach the subject from complementary angles. Bona, Combinatorics of Permutations (2012) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for permutation patterns include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2012Combinatorics of Permutationsbona-2012
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