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

F. Mukhamedov, C. H. Pah, M. Saburov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationInternational Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013 - Proceedings of the International Conference on Mathematical Sciences and Statistics 2013
Pages36-40
Number of pages5
DOIs
Publication statusPublished - 2013
Externally publishedYes
EventInternational Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013 - Kuala Lumpur, Malaysia
Duration: Feb 5 2013Feb 7 2013

Publication series

NameAIP Conference Proceedings
Volume1557
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013
Country/TerritoryMalaysia
CityKuala Lumpur
Period2/5/132/7/13

Keywords

  • Catalan number
  • Cayley tree
  • connected sub-tree

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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