On connected sub-tree of Cayley tree of order 2 with fixed nodes

QR Code

On connected sub-tree of Cayley tree of order 2 with fixed nodes

We found an exact formulation for a finite sub-tree counting problem. Solution to two extremal cases are Catalan Triangle introduced by Shapiro and ballot Catalan triangles. The general solution could be expressed as linear combination of these Catalan triangles.

Bibliographic Details
Main Authors:	Mukhamedov, Farrukh, Pah, Chin Hee, Saburov, Mansoor
Format:	Proceeding Paper
Language:	English
Published:	American Institute of Physics 2013
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/32234/ http://irep.iium.edu.my/32234/1/Catalan_Numbers-AIP.pdf

Similar Items

On connected sub-tree with fixed nodes in Cayley tree of Order 2
by: Mukhamedov, Farrukh, et al.
Published: (2017)

On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
by: Accardi, Luigi, et al.
Published: (2011)

On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two
by: Accardi, Luigi, et al.
Published: (2011)

λ-model with competing Potts interactions on Cayley tree of order 2
by: Mukhamedov, Farrukh, et al.
Published: (2018)

On ground states of λ-model on the cayley tree of order two
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Single polygon counting on Cayley tree of order 4 : generalized Catalan numbers
by: Pah, Chin Hee, et al.
Published: (2013)

Single polygon counting for two fixed nodes on a Cayley tree of order 2
by: Pah, Chin Hee
Published: (2011)

Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
by: Mukhamedov, Farrukh, et al.
Published: (2011)

Quantum Markov Chains and Ising model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2013)

Uniqueness of quantum Markov chains associated with an XY -model on a Cayley tree of order 2
by: Accardi, Luigi, et al.
Published: (2011)

On p-adic Ising–Vannimenus model on an arbitrary order Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2015)

Ising model with competing interactions on Cayley tree of Order 4: an analytic solution
by: Ali, Rukiah, et al.
Published: (2013)

On phase transitions in Quantum Markov Chains on Cayley tree
by: Accardi, Luigi, et al.
Published: (2011)

Single Polygon Counting on Cayley Tree of Order 3
by: Pah, Chin Hee
Published: (2010)

On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2011)

Exact solution for an Ising model on the Cayley tree of order
by: Jamil, Hakim, et al.
Published: (2016)

Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
by: Pah, Chin Hee
Published: (2008)

On quantum Markov chains on Cayley tree III: Ising model
by: Accardi, Luigi, et al.
Published: (2014)

Exact solution for an Ising model on the Cayley tree of order 5
by: Jamil, Mohd Hakim, et al.
Published: (2015)

An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting
by: Pah, Chin Hee
Published: (2008)

Dynamical systems of XY-models on a Cayley tree of order two
by: Mukhamedov, Farrukh, et al.
Published: (2011)

Dynamical systems of XY-models on a Cayley tree of order three
by: Mukhamedov, Farrukh, et al.
Published: (2011)

The p-adic potts model on the cayley tree of order three
by: Mukhamedov, Farrukh, et al.
Published: (2013)

Quantum Markov chains on a Cayley tree
by: Mukhamedov, Farrukh
Published: (2011)

Ising model with competing interactions on Cayley tree of order 4: an analytic solution
by: Ali, Rukiah, et al.
Published: (2011)

Phase transition for Ising model with two competing interaction on Cayley tree of order
by: Ali, Rukiah, et al.
Published: (2011)

Generalized quantum Markov chains on a Cayley tree
by: Mukhamedov, Farrukh
Published: (2009)

Phase transitions for p-adic Potts model on the Cayley tree of order three
by: Mukhamedov, Farrukh, et al.
Published: (2013)

Renormalization method in p-adic λ-model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2015)

Dynamical systems of Ising model on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2011)

On construction of quantum Markov chains on Cayley trees
by: Accardi, Luigi, et al.
Published: (2016)

Quantum phase transition for Ising type models on a Cayley tree of order two
by: Mukhamedov, Farrukh, et al.
Published: (2014)

Ground states and phase transition of the λ model on the Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2018)

A dynamical system approach to phase transitions for p-adic Potts model on the Cayley tree of order two
by: Mukhamedov, Farrukh
Published: (2012)

On p-adic ising model with competing interactions on the cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2014)

An Ising model with three competing interactions on a Cayley tree
by: Ganikhodjaev, Nasir, et al.
Published: (2004)

On descriptions of all translation invariant p−adic gibbs measures for the potts model on the cayley tree of order three
by: Saburov, Mansoor, et al.
Published: (2015)

On periodic Gibbs measures of p-adic Potts model on a Cayley Tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Phase transition and chaos: P-adic Potts model on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Periodic and weakly periodic ground states for the λ-Model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2018)