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.
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页码：72 / 76
页数：5
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