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Original Articles

An algorithm for finding the number of (0, 1, 2,…, l)-matrices with prefixed row sum and column sum vectors

Pages 125-132 | Received 01 Aug 1986, Published online: 19 Mar 2007

References

  • Gale , D. 1957 . A theorem on flows in networks . Pacific J. Math. , 7 : 1073 – 1082 .
  • Ryser , H. J. 1957 . Combinatorial properties of matrices of zeros and ones . Canad. J. Math. , 9 : 371 – 377 .
  • Anstee , R. P. 1982 . Properties of a class of (0, l)-matrices covering a given matrix . Can. J. Math. , 34 : 438 – 453 .
  • Brualdi , R. A. 1980 . Matrices of zeros and ones with fixed row and column sum vectors . Lin. Alg. and its Applic. , 33 : 159 – 231 .
  • Ford , L. R. Jr. and Fulkerson , D. R. 1962 . Flows in Networks , Princeton, N.J : Princeton University Press .
  • Wei , Wan-Di . 1982 . The class  (R S) of (0, l)-matrices . Discrete Mathematics , 39 : 301 – 305 .

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