On graphic elementary lifts of graphic matroids

On graphic elementary lifts of graphic matroids

Zaslavsky introduced the concept of lifted-graphic matroid. For binary matroids, a binary elementary lift can be defined in terms of the splitting operation. In this paper, we give a method to get a forbidden-minor characterization for the class of graphic matroids whose all lifted-graphic matroids...

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Veröffentlicht in:arXiv.org 2019-10
Hauptverfasser: Mundhe, Ganesh, Borse, Y M, Dalvi, K V
Format: Artikel
Sprache:eng
Schlagworte:
Splitting
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Zusammenfassung:Zaslavsky introduced the concept of lifted-graphic matroid. For binary matroids, a binary elementary lift can be defined in terms of the splitting operation. In this paper, we give a method to get a forbidden-minor characterization for the class of graphic matroids whose all lifted-graphic matroids are also graphic using the splitting operation.
ISSN:2331-8422