On Recognizing Frame and Lifted-Graphic Matroids

被引：3

作者：

Chen, Rong ^{[1
]}

Whittle, Geoff ^{[2
]}

机构：

[1] Fuzhou Univ, Ctr Discrete Math, Fuzhou, Fujian, Peoples R China

[2] Victoria Univ Wellington, Sch Math Stat & Operat Res, Wellington, New Zealand

来源：

JOURNAL OF GRAPH THEORY | 2018年 / 87卷 / 01期

关键词：

frame matroid; lifted-graphic matroid; quasi-graphic matroid; BIASED GRAPHS;

D O I：

10.1002/jgt.22141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there is no polynomial p(.) with the property that a matroid M can be determined to be either a lifted-graphic or frame matroid using at most p(vertical bar M vertical bar) rank evaluations. This resolves two conjectures of Geelen, Gerards, and Whittle (Quasi-graphic matroids, to appear in J. Graph Theory). (C) 2017 Wiley Periodicals, Inc. J.

引用

页码：72 / 76

页数：5

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