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00925njm 22002777a 4500 dc Panelo, Cristian Rafael author Encinas Bachiller, Andrés Marcos author Videla, Denis E. author 2025-01-01 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. This work was partially supported by Universidad Nacional de San Luis, Argentina, grant PROICO 03-0918; MATH AmSud, grant 21-MATH-05; and Agencia Nacional de Promoci´on de la Investigaci´on, el Desarrollo Tecnol´ogico y la Innovaci´on, Argentina, grant PICT 2020-Serie A-00549. Peer Reviewed Postprint (published version) Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal Algebras Linear Matrices Classificació AMS::05 Combinatorics::05C Graph theory Classificació AMS::15 Linear and multilinear algebra; matrix theory Combinatorial formulas for determinant, permanent, and inverse of some circulant matrices with three parameters