Journal article
The N -queens Problem on a symmetric Toeplitz matrix
Discrete mathematics, Vol.309(4), pp.969-974
2009
DOI: 10.1016/j.disc.2008.01.042
Abstract
We consider the problem of placing n nonattacking queens on a symmetric n × n Toeplitz matrix. As in the N -queens Problem on a chessboard, two queens may attack each other if they share a row or a column in the matrix. However, the usual diagonal restriction is replaced by specifying that queens may attack other queens that occupy squares with the same number value in the matrix. We will show that n nonattacking queens can be placed on such a matrix if and only if n ≡ 0 , 1 mod 4 .
Details
- Title: Subtitle
- The N -queens Problem on a symmetric Toeplitz matrix
- Creators
- Zsuzsanna Szaniszlo - Department of Mathematics, Valparaiso University, United StatesMaggy Tomova - Department of Mathematics, Rice University, United StatesCindy Wyels - Department of Mathematics, CSU Channel Islands, United States
- Resource Type
- Journal article
- Publication Details
- Discrete mathematics, Vol.309(4), pp.969-974
- DOI
- 10.1016/j.disc.2008.01.042
- ISSN
- 0012-365X
- eISSN
- 1872-681X
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2009
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985868802771
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