Circuit and cocircuit partitions of binary matroids

Eunice Gogo Mphako

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 1, page 19-25
  • ISSN: 0011-4642

Abstract

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We give an example of a class of binary matroids with a cocircuit partition and we give some characteristics of a set of cocircuits of such binary matroids which forms a partition of the ground set.

How to cite

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Mphako, Eunice Gogo. "Circuit and cocircuit partitions of binary matroids." Czechoslovak Mathematical Journal 56.1 (2006): 19-25. <http://eudml.org/doc/31014>.

@article{Mphako2006,
abstract = {We give an example of a class of binary matroids with a cocircuit partition and we give some characteristics of a set of cocircuits of such binary matroids which forms a partition of the ground set.},
author = {Mphako, Eunice Gogo},
journal = {Czechoslovak Mathematical Journal},
keywords = {binary matroid; affine matroid; cocircuit; Eulerian; circuit partition; binary matroid; cocircuit partition; affine matroid},
language = {eng},
number = {1},
pages = {19-25},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Circuit and cocircuit partitions of binary matroids},
url = {http://eudml.org/doc/31014},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Mphako, Eunice Gogo
TI - Circuit and cocircuit partitions of binary matroids
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 1
SP - 19
EP - 25
AB - We give an example of a class of binary matroids with a cocircuit partition and we give some characteristics of a set of cocircuits of such binary matroids which forms a partition of the ground set.
LA - eng
KW - binary matroid; affine matroid; cocircuit; Eulerian; circuit partition; binary matroid; cocircuit partition; affine matroid
UR - http://eudml.org/doc/31014
ER -

References

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  1. 10.1090/S0002-9947-1972-0309764-6, Trans. Amer. Math. Soc. 171 (1972), 235–282. (1972) Zbl0224.05007MR0309764DOI10.1090/S0002-9947-1972-0309764-6
  2. Some topics in matroid theory, PhD. thesis, University of Oxford, 1972. (1972) 
  3. Matroid Theory, Oxford University Press, New York, 1992. (1992) Zbl0784.05002MR1207587
  4. 10.1016/S0021-9800(69)80033-5, J.  Combin. Theory 6 (1969), 375–377. (1969) Zbl0169.01901MR0237368DOI10.1016/S0021-9800(69)80033-5
  5. Matroid Theory, Academic Press, London-New York, 1976. (1976) Zbl0343.05002MR0427112

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