Journal of the Indonesian Mathematical Society
Volume 20 Number 1 (April 2014)

EIGENVALUES AND EIGENVECTORS OF LATIN SQUARES IN MAX-PLUS ALGEBRA

Muhammad Syifa’ul Mufid (Institut Teknologi Sepuluh Nopember, Surabaya)
Subiono - (Institut Teknologi Sepuluh Nopember, Surabaya)

Article Info

Publish Date
23 May 2014

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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Journal Info
Journal of the Indonesian Mathematical Society
Website

Abbrev

JIMS

Publisher

Indonesian Mathematical Society

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...