The N-queens Problem on a symmetric Toeplitz matrix

Details The N-queens Problem on a symmetric Toeplitz matrix The N-queens Problem on a symmetric Toeplitz matrix

2010-07-29

arxiv.org/abs/1007.5350v1

Discrete Math. 309 (2009), no. 4, 969--974

Mathematics

Combinatorics

7 pages, 4 figures

Scientific paper

We consider the problem of placing $n$ nonattacking queens on a symmetric $n \times n$ 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 $n\equiv 0,1 \mod 4$.

Affiliated with

Also associated with

No associations

Rating

The N-queens Problem on a symmetric Toeplitz matrix does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The N-queens Problem on a symmetric Toeplitz matrix, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The N-queens Problem on a symmetric Toeplitz matrix will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699625