Single polygon counting on Cayley tree of order 3

DOI10.1007/s10955-010-9989-5zbMath1193.82016OpenAlexW2072406721WikidataQ60692001 ScholiaQ60692001MaRDI QIDQ983711

Chin Hee Pah

Publication date: 24 July 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-9989-5

zbMATH Keywords

Cayley treegeneralized Catalan numberscontour method

Mathematics Subject Classification ID

Trees (05C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Uses Software

• OEIS

Cites Work

• \(k\)-core architecture and \(k\)-core percolation on complex networks
• An application of Catalan numbers on Cayley tree of order 2: Single polygon counting
• An inequality for ratios of gamma functions
• Catalan numbers, their generalization, and their uses
• Bijections for ternary trees and non-crossing trees
• The generating function of ternary trees and continued fractions
• Correspondences between plane trees and binary sequences
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