Representations of lift bicircular matroids

CHEN Rong; GAO Zifei

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Representations of lift bicircular matroids

CHEN Rong *,GAO Zifei

Center for Discrete Mathematics, Fuzhou University, Fuzhou 35003

*Correspondence author

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Funding: SRFDP Foundation （No.20113514120010）, CNNSF Foundation （No.11201076）

Opened online:24 September 2014

Accepted by: none

Citation: CHEN Rong,GAO Zifei.Representations of lift bicircular matroids[OL]. [24 September 2014] http://en.paper.edu.cn/en_releasepaper/content/4610397

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.

Keywords:biased graphs, bicircular graphs, lift matroids, frame matroids.

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