Cographic Splitting of Graphic Matroids Using a Set with Three Elements

被引：0
|
作者：
Solanki, S. D. [1 ]
Mundhe, Ganesh [2 ]
Dhotre, S. B. [3 ]
机构：
[1] Ajeenkya DY Patil Univ, Charoli Bk via Lohegaon, Pune 412105, Maharashtra, India
[2] Army Inst Technol, Pune 411015, Maharashtra, India
[3] Savitribai Phule Pune Univ, Dept Math, Pune 411007, Maharashtra, India
来源：
GRAPHS AND COMBINATORICS | 2023年 / 39卷 / 05期
关键词：
Binary Matroid; Graphic; Cographic; Minor; Quotient; Splitting;
D O I：
10.1007/s00373-023-02692-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In general, the properties of binary matroids like graphicness and cographicness are not preserved by the splitting operation. In this paper, for the set of graphic matroids, we obtain a collection of minimal minors to get non-cographic splitting matroids using a splitting operation by a set containing three elements.
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页数：15
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