We study the cutting problems of meanders using 2-Motzkin words. These words uniquely define elevated peakless Motzkin paths, which under specific conditions correspond to meanders. A procedure for the determination of the set of meanders with a given sequence of cutting degrees, or with a given cutting degree, is presented by using proper conditions.


Dyck path Grand Dyck path 2-Motzkin word elevated peakless Motzkin path 


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Copyright information

© IFIP International Federation for Information Processing 2012

Authors and Affiliations

  • A. Panayotopoulos
    • 1
  • Panayiotis Vlamos
    • 2
  1. 1.University of PiraeusPiraeusGreece
  2. 2.Department of InformaticsIonian UniversityCorfuGreece

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