Combinatorial formulas for determinant, permanent, and inverse of some circulant matrices with three parameters

• Cristian Panelo ^[1] ; Andrés M. Encinas ^[2] ; Denis E. Videla ^[3]
  1. [1] Universidad Nacional de San Luis

     Universidad Nacional de San Luis

     Argentina

     
  2. [2] Departament de Matem`atiques, Universitat Polit`ecnica de Catalunya, Barcelona, Spain
  3. [3] FaMAF – CIEM (CONICET), Universidad Nacional de C´ordoba, C´ordoba, Argentina

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• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 68, Nº. 1, 2025, págs. 231-242
• Idioma: inglés
• DOI: 10.33044/revuma.3886
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• Resumen

  • We give closed formulas for determinant, permanent, and inverse of circulant matrices with three non-zero coefficients. The techniques that we use are related to digraphs associated with these matrices.

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