<p>Approaches to enumerating various types of objects are demonstrated: with restrictions, labeled, and unlabeled. An algorithmic scheme for constructing geometric interpretations of families of combinatorial numbers has been developed. The issues of enumerating planar and nonplanar trees according to various parameters are considered.</p>

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Algorithms for Enumeration of Lattice Paths with Constraints and Rooted Trees by Various Parameters

  • A. A. Balagura,
  • O. V. Kuzmin

摘要

Approaches to enumerating various types of objects are demonstrated: with restrictions, labeled, and unlabeled. An algorithmic scheme for constructing geometric interpretations of families of combinatorial numbers has been developed. The issues of enumerating planar and nonplanar trees according to various parameters are considered.