The Term Rank of a Matrix
- 1 January 1958
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 10, 57-65
- https://doi.org/10.4153/cjm-1958-006-2
Abstract
This paper continues a study appearing in (5) of the combinatorial properties of a matrix A of m rows and n columns, all of whose entries are 0's and 1's. Let the sum of row i of A be denoted by r i and let the sum of column i of A be noted by st. We call R = (r 1, … , rm) the row sum vector and S = (s 1, … , s n) the column sum vector of A. The vectors R and S determine a class consisting of all (0, 1)-matrices of m rows and n columns, with row sum vector R and column sum vector S. Simple arithmetic properties of R and S are necessary and sufficient for the existence of a class (1 ; 5).Keywords
This publication has 0 references indexed in Scilit: