GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS

DOI10.1142/S0217984902004792zbMath1079.82518arXivcond-mat/0212334OpenAlexW2101321757MaRDI QIDQ5700056

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Publication date: 27 October 2005

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0212334

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

A new family of \(k\)-Fibonacci numbers

Cites Work

• Matchings in graphs on non-orientable surfaces
• Dimer statistics on the Möbius strip and the Klein bottle
• Second Order Polynomial Recursions

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