EIGENVALUES AND EIGENVECTORS OF LATIN SQUARES IN MAX-PLUS ALGEBRA

Muhammad Syifa’ul Mufid, Subiono -

Abstract


A Latin square of order n is a square matrix with n different numberssuch that numbers in each column and each row are distinct. Max-plus Algebra isalgebra that uses two operations, ⊕ and ⊗. In this paper, we solve the eigenproblemfor Latin squares in Max-plus Algebra by considering the permutations determinedby the numbers in the Latin squares.

DOI : http://dx.doi.org/10.22342/jims.20.1.178.37-45


Keywords


Latin squares; Max-plus Algebra; Eigenproblems; Permutation

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DOI: https://doi.org/10.22342/jims.20.1.178.37-45

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Journal of the Indonesian Mathematical Society
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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