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Characterizing matroids whose bases form graphic delta-matroids

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Title
Characterizing matroids whose bases form graphic delta-matroids
Author(s)
Duksang Lee; Sang-il Oum
Publication Date
2022-03
Journal
European Journal of Combinatorics, v.101
Publisher
Academic Press
Abstract
We introduce delta-graphic matroids, which are matroids whose bases form graphic delta-matroids. The class of delta-graphic matroids contains graphic matroids as well as cographic matroids and is a proper subclass of the class of regular matroids. We give a structural characterization of the class of delta-graphic matroids. We also show that every forbidden minor for the class of delta-graphic matroids has at most 48 elements.
URI
https://pr.ibs.re.kr/handle/8788114/11025
DOI
10.1016/j.ejc.2021.103476
ISSN
0195-6698
Appears in Collections:
Pioneer Research Center for Mathematical and Computational Sciences(수리 및 계산과학 연구단) > Discrete Mathematics Group(이산 수학 그룹) > 1. Journal Papers (저널논문)
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