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Prime 2-structures

Attribution - NoDerivatives ;DOI: 10.55016/ojs/cdm.v19i1

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  • Title:
    Prime 2-structures
  • Author: Ille, Pierre
  • Subjects: Mathematics
  • Description: The 2-structures generalize arc-coloured digraphs. They are obtained from a vertex set by considering an equivalence relation between the ordered pairs of distinct vertices. The 2-structures provide a suitable framework to introduce the modular decomposition. A vertex subset of a 2-structure is a module whenever each vertex outside is linked in an equivalent way to all the vertices inside. A 2-structure is prime if it does not admit proper modules with at least 2 elements. Our purpose is to study the possible cardinalities of the prime 2-substructures in a finite or infinite prime 2-structure.
  • Creation Date: 2024
  • Language: English
  • Identifier: DOI: 10.55016/ojs/cdm.v19i1
  • Source: Hyper Article en Ligne (HAL) (Open Access)
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