@inproceedings{bacd25a0c1b84d7abf98f5a4711e6384,

title = "On connected sub-tree of Cayley tree of order 2 with fixed nodes",

abstract = "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.",

keywords = "Catalan number, Cayley tree, connected sub-tree",

author = "F. Mukhamedov and Pah, {C. H.} and M. Saburov",

year = "2013",

doi = "10.1063/1.4823870",

language = "English",

isbn = "9780735411838",

series = "AIP Conference Proceedings",

pages = "36--40",

booktitle = "International Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013 - Proceedings of the International Conference on Mathematical Sciences and Statistics 2013",

note = "International Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013 ; Conference date: 05-02-2013 Through 07-02-2013",

}