A modular triple characterization of circuit signatures

被引：0
|
作者：
Koban, Lori [1 ]
机构：
[1] Univ Maine Farmington, Dept Math & Comp Sci, Orono, ME 04469 USA
[2] Univ Maine Farmington, Dept Math, Farmington, ME 04938 USA
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2008年 / 29卷 / 01期
关键词：
D O I：
10.1016/j.ejc.2006.11.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the modular triples of circuits of a matroid and use them to characterize four types of circuit signatures, three of which are known (weak orientations, orientations, and ternary signatures) and one of which is new (lifting signatures). Lifting signatures allow us to specify a linear class of circuits in a matroid, and thereby the lift of the matroid, by labeling the elements from a group in the manner of Dowling and Kelly. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：159 / 170
页数：12
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