Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 1997; 34(4): 825-839

Printed December 1, 1997

Copyright © The Korean Mathematical Society.

On the minimum permanents related with certain barycentric matrices

Seok-Zun Song, Sung-Min Hong, Young-Bae Jun, Hong-Kee Kim, and Seon-Jeong Kim

Cheju National University, Gyeongsang National University, Gyeongsang National University, Gyeongsang National University and Gyeongsang National University

Abstract

The permanent function on certain faces of the polytope of doubly stochastic matrices are studied. These faces are shown to be barycentric, and the minimum values of the permanent are determined.

Keywords: minimum permanent, barycentric matrix

MSC numbers: Primary 15A15, 15A51

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