Catalan triangles and tied arc diagrams

2020/11/30 by Aicardi, Francesca
#05A10 #05A19 #Combinatorics (math.CO) #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2011.14628

Abstract

The Catalan triangle, as well as a Fuss-Catalan triangle, enter a problem of counting particular tied arc diagrams. This setting allows us to prove some combinatorial properties of these triangles.

Related

• Fuss-Catalan Triangles
• Revitalized automatic proofs: demonstrations
• Harmonic numbers, Catalan's triangle and mesh patterns
• Arc numbers from Gauss diagrams
• Refined enumerations of alternating sign triangles