2018-02-01
Quasi-graphic matroids (corrected version of a paper that was previously retracted at the request of the authors)
Publication
Publication
Journal of Graph Theory , Volume 87 - Issue 2 p. 253- 264
Frame matroids and lifted-graphic matroids are two interesting generalizations of graphic matroids. Here, we introduce a new generalization, quasi-graphic matroids, that unifies these two existing classes. Unlike frame matroids and lifted-graphic matroids, it is easy to certify that a 3-connected matroid is quasi-graphic. The main result is that every 3-connected representable quasi-graphic matroid is either a lifted-graphic matroid or a frame matroid. Copyright
Additional Metadata | |
---|---|
, , , | |
doi.org/10.1002/jgt.22177 | |
Journal of Graph Theory | |
Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
Geelen, J., Gerards, B., & Whittle, G. (2018). Quasi-graphic matroids (corrected version of a paper that was previously retracted at the request of the authors). Journal of Graph Theory, 87(2), 253–264. doi:10.1002/jgt.22177 |