Study of the permanent conjecture and some generalizations
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- by O. S. Rothaus PDF
- Bull. Amer. Math. Soc. 78 (1972), 749-752
References
- Richard A. Brualdi, Seymour V. Parter, and Hans Schneider, The diagonal equivalence of a nonnegative matrix to a stochastic matrix, J. Math. Anal. Appl. 16 (1966), 31–50. MR 206019, DOI 10.1016/0022-247X(66)90184-3
- Andrew M. Gleason, Remarks on the van der Waerden permanent conjecture, J. Combinatorial Theory 8 (1970), 54–64. MR 255562, DOI 10.1016/S0021-9800(70)80008-4
- H. J. Ryser, Permanents and systems of district representatives, Combinatorial Mathematics and its Applications (Proc. Conf., Univ. North Carolina, Chapel Hill, N.C., 1967) Univ. North Carolina Press, Chapel Hill, N.C., 1969, pp. 55–70. MR 0249448
- Richard Sinkhorn and Paul Knopp, Concerning nonnegative matrices and doubly stochastic matrices, Pacific J. Math. 21 (1967), 343–348. MR 210731, DOI 10.2140/pjm.1967.21.343
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 749-752
- MSC (1970): Primary 15A15, 52A25; Secondary 05A20
- DOI: https://doi.org/10.1090/S0002-9904-1972-13017-9
- MathSciNet review: 0299614