Mufid, Muhammad Syifa’ul
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EIGENVALUES AND EIGENVECTORS OF LATIN SQUARES IN MAX-PLUS ALGEBRA Mufid, Muhammad Syifa’ul; -, Subiono
Journal of the Indonesian Mathematical Society Volume 20 Number 1 (April 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.1.178.37-45

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