Geodesic
Parity systems and the delta-matroid intersection problem
The electronic journal of combinatorics, Tome 7 (2000)
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We consider the problem of determining when two delta-matroids on the same ground-set have a common base. Our approach is to adapt the theory of matchings in 2-polymatroids developed by Lovász $[13]$ to a new abstract system, which we call a parity system. Examples of parity systems may be obtained by combining either, two delta-matroids, or two orthogonal 2-polymatroids, on the same ground-sets. We show that many of the results of Lovász concerning 'double flowers' and 'projections' carry over to parity systems.
DOI : 10.37236/1492
Classification : 05B35
Mots-clés : delta-matroids, parity system, 2-polymatroids 
@article{10_37236_1492,
     author = {Andr\'e Bouchet and Bill Jackson},
     title = {Parity systems and the delta-matroid intersection problem},
     journal = {The electronic journal of combinatorics},
     year = {2000},
     volume = {7},
     doi = {10.37236/1492},
     zbl = {0938.05022},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1492/}
}
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André Bouchet; Bill Jackson. Parity systems and the delta-matroid intersection problem. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1492

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