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On graphic elementary lifts of graphic matroids

2019/10/13 by Ganesh Mundhe, Y. M. Borse, Mundhe, Ganesh +3
Computer Science · #Advanced Algebra and Logic #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1910.05689

openalex publication_date 2019/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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