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提升重圈拟阵的表示

Representations of lift bicircular matroids

中文摘要英文摘要

框架拟阵和提升拟阵是由偏图决定的二类重要拟阵。Coullard,del Greco和Wagner刻画了哪些不含平衡圈的偏图有相同的框架拟阵。在该论文中,我们刻画了哪些不含平衡圈的偏图有相同的提升拟阵;回答了Irene Pivotto提出的一个公开问题。

Frame matroids and lift matroids are main types matroids arisen from biased graphs. Coullard, del Greco and Wagner characterized which biased graphs without balanced cycles have the same frame matroid. In this paper, we characterize which biased graphs without balanced cycles have the same lift matroid, which answers a question proposed by Irene Pivotto in the matroid union blog.

高子飞、陈容

数学

偏图重圈图提升拟阵框架拟阵

biased graphs bicircular graphs lift matroids frame matroids.

高子飞,陈容.提升重圈拟阵的表示[EB/OL].(2014-09-24)[2025-08-28].http://www.paper.edu.cn/releasepaper/content/201409-312.点此复制

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