| Title:
|
Circuit and cocircuit partitions of binary matroids (English) |
| Author:
|
Mphako, Eunice Gogo |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
19-25 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
binary matroid |
| Keyword:
|
affine matroid |
| Keyword:
|
cocircuit |
| Keyword:
|
Eulerian |
| Keyword:
|
circuit partition |
| MSC:
|
05B35 |
| idZBL:
|
Zbl 1164.05328 |
| idMR:
|
MR2206284 |
| . |
| Date available:
|
2009-09-24T11:31:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128051 |
| . |
| Reference:
|
[1] T. H. Brylawski: A decomposition for combinatorial geometries.Trans. Amer. Math. Soc. 171 (1972), 235–282. Zbl 0224.05007, MR 0309764, 10.1090/S0002-9947-1972-0309764-6 |
| Reference:
|
[2] A. P. Heron: Some topics in matroid theory.PhD. thesis, University of Oxford, 1972. |
| Reference:
|
[3] J. G. Oxley: Matroid Theory.Oxford University Press, New York, 1992. Zbl 0784.05002, MR 1207587 |
| Reference:
|
[4] D. J. A. Welsh: Euler and bipartite matroids.J. Combin. Theory 6 (1969), 375–377. Zbl 0169.01901, MR 0237368, 10.1016/S0021-9800(69)80033-5 |
| Reference:
|
[5] D. J. A. Welsh: Matroid Theory.Academic Press, London-New York, 1976. Zbl 0343.05002, MR 0427112 |
| . |
