Pin classes exhibit a phase transition at μ ≈ 3.28277 with countably many below the threshold and uncountably many at it; all growth rates below μ are classified via periodic pin permutations.
Permutation patterns: basic definitions and notation
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
A brief presentation of basic definitions and notation used in permutation patterns research.
fields
math.CO 2verdicts
UNVERDICTED 2representative citing papers
Completes the enumeration of length-n parking functions avoiding any length-3 pattern and provides growth rates for monotonic pattern avoidance, plus a count for Sylvester congruence classes.
citing papers explorer
-
Pin classes II: Small pin classes
Pin classes exhibit a phase transition at μ ≈ 3.28277 with countably many below the threshold and uncountably many at it; all growth rates below μ are classified via periodic pin permutations.
-
Enumerating Pattern Avoiding Parking Functions
Completes the enumeration of length-n parking functions avoiding any length-3 pattern and provides growth rates for monotonic pattern avoidance, plus a count for Sylvester congruence classes.