Articles producció científicaEnginyeria Informàtica i Matemàtiques

A note on extension properties and representations of matroids

  • Dades identificatives

    Identificador:  imarina:9462591
    Autors:  Bamiloshin, Michael; Farras, Oriol; Padro, Carles
    Resum:
    We discuss several extension properties of matroids and polymatroids and their application as necessary conditions for the existence of different matroid representations, namely linear, folded linear, algebraic, and entropic representations. Iterations of those extension properties are checked for matroids on eight and nine elements by means of computer-aided explorations, finding in that way several new examples of non-linearly representable matroids. A special emphasis is made on sparse paving matroids on nine points containing the tic-tac-toe configuration. We present a new, more clear description of that family and we analyze extension properties on those matroids and their duals. (c) 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
  • Altres:

    Enllaç font original: https://www.sciencedirect.com/science/article/pii/S0166218X2500349X?via%3Dihub
    Referència de l'ítem segons les normes APA: Bamiloshin, Michael; Farras, Oriol; Padro, Carles (2025). A note on extension properties and representations of matroids. Discrete Applied Mathematics, 376(), 270-280. DOI: 10.1016/j.dam.2025.06.028
    Referència a l'article segons font original: Discrete Applied Mathematics. 376 270-280
    DOI de l'article: 10.1016/j.dam.2025.06.028
    Any de publicació de la revista: 2025
    Entitat: Universitat Rovira i Virgili
    Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
    Data d'alta del registre: 2025-08-02
    Autor/s de la URV: Farràs Ventura, Oriol
    Departament: Enginyeria Informàtica i Matemàtiques
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Tipus de publicació: Journal Publications
    Autor segons l'article: Bamiloshin, Michael; Farras, Oriol; Padro, Carles
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Àrees temàtiques: Applied mathematics, Ciência da computação, Ciências biológicas i, Discrete mathematics and combinatorics, Engenharias i, Engenharias iii, Engenharias iv, Ensino, Interdisciplinar, Linguística e literatura, Matemática / probabilidade e estatística, Mathematics, applied
    Adreça de correu electrònic de l'autor: oriol.farras@urv.cat
  • Paraules clau:

    Bound
    Common information
    Entropy
    Generalized euclidean property
    Inequalities
    Information
    Matroid representation
    Networks
    Secret sharing scheme
    Secret sharing schemes
    Applied Mathematics
    Discrete Mathematics and Combinatorics
    Mathematics
    Applied
    Ciência da computação
    Ciências biológicas i
    Engenharias i
    Engenharias iii
    Engenharias iv
    Ensino
    Interdisciplinar
    Linguística e literatura
    Matemática / probabilidade e estatística
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