Combinatorial Properties of Matrices of Zeros and Ones
- 1 January 1957
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 9, 371-377
- https://doi.org/10.4153/cjm-1957-044-3
Abstract
This paper is concerned with a matrix A of m rows and n columns, all of whose entries are 0's and l's. Let the sum of row i of A be denoted by ri (i = 1, … , m) and let the sum of column i of A be denoted by si (i = 1, … , n).Keywords
This publication has 5 references indexed in Scilit:
- Graphs and matching theoremsDuke Mathematical Journal, 1955
- A combinatorial theorem with an application to latin rectanglesProceedings of the American Mathematical Society, 1951
- An existence theorem for latin squaresBulletin of the American Mathematical Society, 1945
- On Representatives of SubsetsJournal of the London Mathematical Society, 1935
- Some Methods applicable to Identities and Inequalities of Symmetric Algebraic Functions of n LettersProceedings of the Edinburgh Mathematical Society, 1902