Abstract | ||
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Frame matroids and lifted-graphic matroids are two interesting generalizations of graphic matroids. Here we introduce a new generalization, {\em quasi-graphic matroids}, that unifies these two existing classes. Unlike frame matroids and lifted-graphic matroids, it is easy to certify that a matroid is quasi-graphic. The main result of the paper is that every $3$-connected representable quasi-graphic matroid is either a lifted-graphic matroid or a frame matroid. |
Year | Venue | DocType |
---|---|---|
2018 | Journal of Graph Theory | Journal |
Volume | Issue | Citations |
87 | 2 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jim Geelen | 1 | 241 | 29.49 |
bert gerards | 2 | 0 | 0.34 |
Geoff Whittle | 3 | 471 | 57.57 |