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Recognizing even-cycle and even-cut matroids.
- Source :
- Mathematical Programming; Nov2023, Vol. 202 Issue 1/2, p515-542, 28p
- Publication Year :
- 2023
-
Abstract
- Even-cycle matroids are elementary lifts of graphic matroids and even-cut matroids are elementary lifts of cographic matroids. We present a polynomial algorithm to check if a binary matroid is an even-cycle matroid and we present a polynomial algorithm to check if a binary matroid is an even-cut matroid. These two algorithms rely on a polynomial algorithm (to be described in a pair of follow-up papers) to check if a binary matroid is pinch-graphic. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATROIDS
POLYNOMIALS
ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 00255610
- Volume :
- 202
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Programming
- Publication Type :
- Academic Journal
- Accession number :
- 172916074
- Full Text :
- https://doi.org/10.1007/s10107-023-01944-6