Generalized indices of Boolean matrices

Bo Zhou

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 4, page 731-738
  • ISSN: 0011-4642

Abstract

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We obtain upper bounds for generalized indices of matrices in the class of nearly reducible Boolean matrices and in the class of critically reducible Boolean matrices, and prove that these bounds are the best possible.

How to cite

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Zhou, Bo. "Generalized indices of Boolean matrices." Czechoslovak Mathematical Journal 52.4 (2002): 731-738. <http://eudml.org/doc/30739>.

@article{Zhou2002,
abstract = {We obtain upper bounds for generalized indices of matrices in the class of nearly reducible Boolean matrices and in the class of critically reducible Boolean matrices, and prove that these bounds are the best possible.},
author = {Zhou, Bo},
journal = {Czechoslovak Mathematical Journal},
keywords = {Boolean matrix; index of convergence; digraph; Boolean matrix; index of convergence; digraph},
language = {eng},
number = {4},
pages = {731-738},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized indices of Boolean matrices},
url = {http://eudml.org/doc/30739},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Zhou, Bo
TI - Generalized indices of Boolean matrices
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 731
EP - 738
AB - We obtain upper bounds for generalized indices of matrices in the class of nearly reducible Boolean matrices and in the class of critically reducible Boolean matrices, and prove that these bounds are the best possible.
LA - eng
KW - Boolean matrix; index of convergence; digraph; Boolean matrix; index of convergence; digraph
UR - http://eudml.org/doc/30739
ER -

References

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  1. On the semigroup of binary relations on a finite set, Czechoslovak Math. J. 20(95) (1970), 632–679. (1970) Zbl0228.20034MR0296190
  2. 10.1002/jgt.3190140413, J.  Graph Theory 14 (1990), 483–499. (1990) MR1067244DOI10.1002/jgt.3190140413
  3. Generalized index of Boolean matrices, Ars Combin. 57 (2000), 257–255. (2000) MR1796645
  4. 10.4153/CJM-1969-088-3, Canad. J.  Math. 21 (1969), 769–782. (1969) MR0245458DOI10.4153/CJM-1969-088-3
  5. Generalized exponents of primitive, nearly reducible matrices, Ars Combin. 51 (1999), 229–239. (1999) Zbl0977.05083MR1675173
  6. On the set of indices of convergence for reducible matrices, Linear Algebra Appl. 148 (1991), 265–278. (1991) MR1090764
  7. 10.1080/03081088808817840, Linear and Multilinear Algebra 22 (1988), 285–303. (1988) MR0937171DOI10.1080/03081088808817840

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