Measuring symmetry in lattice paths and partitions

zbMath1447.05016MaRDI QIDQ2199818

Sergi Elizalde

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2020//26.html

zbMATH Keywords

symmetrypartitionDyck pathcompositionlattice pathD-finiteness

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items

The degree of symmetry of lattice paths, Symmetric peaks and symmetric valleys in Dyck paths, Enumerating symmetric peaks in non-decreasing Dyck paths

Uses Software

• OEIS

Cites Work

• Descent sets on 321-avoiding involutions and hook decompositions of partitions
• The site-perimeter of bargraphs
• A simple and unusual bijection for Dyck paths and its consequences
• Bijections for pairs of non-crossing lattice paths and walks in the plane
• Critical exponents from nonlinear functional equations for partially directed cluster models
• Walks with small steps in the quarter plane
• The Riordan Group and Symmetric Lattice Paths
• On the number of certain lattice polygons
• Unnamed Item
• Unnamed Item
• Unnamed Item