Recognizing pinch-graphic matroids

被引：0
|
作者：
Bertrand Guenin
Cheolwon Heo
机构：
[1] University of Waterloo,
[2] Korea Institute for Advanced Study (KIAS),undefined
来源：
Mathematical Programming | 2024年 / 204卷
关键词：
Binary matroids; Even-cycle matroids; Signed-graphs; Algorithms; Complexity; Primary 05C22; 05C85; 05B35; Secondary 90C27;
D O I：
暂无
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学科分类号：
摘要：
Even-cycle matroids are elementary lifts of graphic matroids. An even-cycle matroid is pinch-graphic if it has a signed-graph representation with a blocking pair. We present a polynomial algorithm to check if an internally 4-connected binary matroid is pinch-graphic. Combining this with a result in Guenin and Heo (Small separations in pinch-graphic matroids. Math Program (2023). https://doi.org/10.1007/s10107-023-01950-8) this allows us to check, in polynomial time, if an arbitrary binary matroid is pinch-graphic.
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页码：113 / 134
页数：21
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