A unique polynomial invariant φ_NCP compatible with two cointeracting coproducts on noncrossing partitions is defined, interpreted as counting valid colorations, and linked to Catalan, Stirling, Riordan array, and Faà di Bruno structures.
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Cointeraction on noncrossing partitions and related polynomial invariants
A unique polynomial invariant φ_NCP compatible with two cointeracting coproducts on noncrossing partitions is defined, interpreted as counting valid colorations, and linked to Catalan, Stirling, Riordan array, and Faà di Bruno structures.