A faithful functor among algebras and graphs

Conference object English OPEN
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad; Vigo Aguiar, Jesús (Coordinador); (2016)
  • Publisher: Computational and Mathematical Methods in Science and Engineering
  • Subject: Graph theory | Finite field | Algebra | Isotopism | Isomorphism | Invariant
    acm: TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES | MathematicsofComputing_DISCRETEMATHEMATICS | ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
    arxiv: Mathematics::Category Theory

The problem of identifying a functor between the categories of algebras and graphs is currently open. Based on a known algorithm that identifies isomorphisms of Latin squares with isomorphism of vertex-colored graphs, we describe here a pair of graphs that enable us to ... View more
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