On a Class of Binary Matrices
Combinatorics
2012-01-09 v1
Abstract
The paper studies the set of all square binary matrices containing an exact number of 1's in each rows and in each column. A connection is established between the cardinal number of this set and the cardinal number of its subset of matrices containing 1 in the lower right corner. With the help of this result a new proof is advanced of the I. Good and J. Grook theorem. In connection with the firs result a classification has also been made of square binary matrices containing three 1's in each row and column and 1 in the lower right corner.
Keywords
Cite
@article{arxiv.1201.1411,
title = {On a Class of Binary Matrices},
author = {Krasimir Yordzhev},
journal= {arXiv preprint arXiv:1201.1411},
year = {2012}
}
Comments
7 pages