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Title: A combinatorial problem arising in finite Markov chains (English)
Author: Schwarz, Štefan
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 36
Issue: 2
Year: 1986
Pages: 199-210
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Category: math
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MSC: 15A45
MSC: 15A48
MSC: 15A51
MSC: 60J10
idZBL: Zbl 0615.15006
idMR: MR849711
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Date available: 2009-09-25T09:53:56Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/132725
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Reference: [1] BERMAN A., PLEMMONS R.: Nonnegative Matrices in the Mathematical Sciences.Academic Pгess, New Yoгk and London, 1979. Zbl 0484.15016, MR 0544666
Reference: [2] DULMAGE A. L., MENDELSOHN N. S.: The stгucture of powers of non-negative matгices.Canad. J. of Math. 17, 1965, 318-330.
Reference: [3] DULMAGE A. L., MENDELSOHN N. S.: Gгaphs and matгices.Graph Theoгy and Theoгetical Physics (Ed. F. Haгaгy), Academic Press, New Yoгk and London, 1967, 167-227. MR 0252247
Reference: [4] KI HANG KIM: Boolean Matrix Theoгy and Applications.Maгcel Dekkeг, inc., New Yoгk and Basel, 1982. MR 0655414
Reference: [5] KOU L. T.: Fixed length sources and sinks of a gгaph.Math. Japonica 29, 1984, 411-417. MR 0752239
Reference: [6] PULLMAN N. J.: On the numbeг of positive entгies in the powers of a non-negative matгix.Canad. Math. Bull. 7, 1964, 525-537. MR 0180562
Reference: [7] SCHWARZ Š.: The semigroup of binaгy relations on a finite set.Czech. Math. J. 20, 1970, 632-679. MR 0296190
Reference: [8] ISAACSON D., MADSEN R.: Positive columns for stochastic matrices.J. Appl. Prob. 11, 1974, 829-835. Zbl 0301.60052, MR 0409525
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