Cybernetics and Systems Analysis

, Volume 55, Issue 2, pp 313–320 | Cite as

Representation of Fragmentary Structures by Oriented Graphs

  • O. V. KryvtsunEmail author


This paper investigates properties of fragmentary structures and establishes a relation between them and marked acyclic digraphs with one source and also a correspondence between classes of isomorphic fragmentary structures and unmarked acyclic digraphs of certain type, which are called feasible graphs. The concepts of a dimension of a feasible graph and its corresponding isomorphic fragmentary structures are defined. An expression is obtained for the lower-bound estimate of a dimension. A theorem on properties of feasible graphs is proved. The numbers of fragmentary structures and classes of isomorphic fragmentary structures of small dimensions are counted.


fragmentary structure partially ordered set directed acyclic graph hypercube 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Zaporizhzhya National Technical UniversityZaporizhzhyaUkraine

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