✦ LIBER ✦

Problems sessions 92-05-29 and 92-05-31

✍ Scribed by R.K. Guy

Book ID: 104351829
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 206 KB
Volume: 39
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00123-1

No coin nor oath required. For personal study only.

✦ Synopsis

PROBLEM 1. (J. R. Henderson via H. Taylor) Is there a square matrix which, by permuting rows or columns, is transposable but not symmetrizable? Find an example and characterize all examples. Henderson has proved that there are none for 2 x 2, 3 x 3, or 4 x 4, and no such (0, 1) matrices with exactly three ones in each row and column for orders up to 8 x 8.

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