A combinatorial problem arising in finite Markov chains

Štefan Schwarz

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 2, page 199-210
  • ISSN: 0232-0525

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Schwarz, Štefan. "A combinatorial problem arising in finite Markov chains." Mathematica Slovaca 36.2 (1986): 199-210. <http://eudml.org/doc/32308>.

@article{Schwarz1986,
author = {Schwarz, Štefan},
journal = {Mathematica Slovaca},
keywords = {Markov chain; stochastic matrix; matrix power with positive column},
language = {eng},
number = {2},
pages = {199-210},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A combinatorial problem arising in finite Markov chains},
url = {http://eudml.org/doc/32308},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Schwarz, Štefan
TI - A combinatorial problem arising in finite Markov chains
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 2
SP - 199
EP - 210
LA - eng
KW - Markov chain; stochastic matrix; matrix power with positive column
UR - http://eudml.org/doc/32308
ER -

References

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  1. BERMAN A., PLEMMONS R., Nonnegative Matrices in the Mathematical Sciences, Academic Pгess, New Yoгk and London, 1979. (1979) Zbl0484.15016MR0544666
  2. DULMAGE A. L., MENDELSOHN N. S., The stгucture of powers of non-negative matгices, Canad. J. of Math. 17, 1965, 318-330. (1965) 
  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. (1967) MR0252247
  4. KI HANG KIM, Boolean Matrix Theoгy and Applications, Maгcel Dekkeг, inc., New Yoгk and Basel, 1982. (1982) MR0655414
  5. KOU L. T., Fixed length sources and sinks of a gгaph, Math. Japonica 29, 1984, 411-417. (1984) MR0752239
  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. (1964) MR0180562
  7. SCHWARZ Š., The semigroup of binaгy relations on a finite set, Czech. Math. J. 20, 1970, 632-679. (1970) MR0296190
  8. ISAACSON D., MADSEN R., Positive columns for stochastic matrices, J. Appl. Prob. 11, 1974, 829-835. (1974) Zbl0301.60052MR0409525

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