Cographic Splitting of Graphic Matroids Using a Set with Three Elements

被引：0
|
作者：
S. D. Solanki
Ganesh Mundhe
S. B. Dhotre
机构：
[1] Ajeenkya DY Patil University,Department of Mathematics
[2] Army Institute of Technology,undefined
[3] Savitribai Phule Pune University,undefined
来源：
Graphs and Combinatorics | 2023年 / 39卷
关键词：
Binary Matroid; Graphic; Cographic; Minor; Quotient; Splitting; 05C83; 05C50; 05B35;
D O I：
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中图分类号：
学科分类号：
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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