EIGENVALUES AND EIGENVECTORS OF LATIN SQUARES IN MAX-PLUS ALGEBRA

Muhammad Syifa’ul Mufid; Subiono -

doi:10.22342/jims.20.1.178.37-45

Muhammad Syifa’ul Mufid ⁽¹⁾ , Subiono - ⁽²⁾

(1) Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia,

(2) Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia

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

Issue
Volume 20 Number 1 (April 2014)

Submitted
May 23, 2014

Accepted
May 23, 2014

Published
May 23, 2014

Keywords:

Latin squares, Max-plus Algebra, Eigenproblems, Permutation

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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

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Authors

Muhammad Syifa’ul Mufid

Institut Teknologi Sepuluh Nopember, Surabaya

penulis@jims-a.org (Primary Contact)

Subiono -

Institut Teknologi Sepuluh Nopember, Surabaya

Mufid, M. S., & -, S. (2014). EIGENVALUES AND EIGENVECTORS OF LATIN SQUARES IN MAX-PLUS ALGEBRA. Journal of the Indonesian Mathematical Society, 20(1), 37–45. https://doi.org/10.22342/jims.20.1.178.37-45