Algebra

URI permanente para esta comunidadhttps://hdl.handle.net/11441/10803

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Examinando Algebra por Autor "Álvarez Solano, Víctor"

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  • Miniatura
    Acceso AbiertoPonencia
    Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques
    (2017-07) Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo; Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII); Universidad de Sevilla. Departamento de álgebra; Junta de Andalucía
    A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard Graph Δ(4t) [9]. The key idea is translating the problem of extending a given clique Cm to a larger clique of size m+ 1 in Gt, into a constraint satisfaction problem, and look for a solution to this problem by means of Minion [6]. Iteration of this process usually ends with a large partial Hadamard matrix.
  • Miniatura
    Acceso AbiertoTesis Doctoral
    Matrices cocíclicas de Hadamard sobre el Grupo Zt x Z 2*2 Descripción, clasificación y búsqueda
    (2011) Güemes Alzaga, María Belén; Gudiel Rodríguez, Félix; Álvarez Solano, Víctor; Universidad de Sevilla. Departamento de Álgebra; Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
  • Miniatura
    Acceso AbiertoArtículo
    Pseudococyclic Partial Hadamard Matrices over Latin Rectangles
    (MDPI [Commercial Publisher], 2021-01-06) Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Universidad de Sevilla. Departamento de Matemática Aplicada I; Universidad de Sevilla. Departamento de Álgebra
    The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle of Hadamard matrices over Latin rectangles and the pseudococycle of Hadamard matrices over quasigroups. This paper delves into this topic by introducing the concept of the pseudococycle of a partial Hadamard matrix over a Latin rectangle, whose fundamentals are comprehensively studied and illustrated.