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Retraction: ‘Quasi‐Graphic Matroids’ by J. Geelen, B. Gerards and G. Whittle
Author(s) -
Geelen, Jim,
Gerards, Bert,
Whittle, Geoff
Publication year - 2018
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.22143
Subject(s) - matroid , mathematics , combinatorics
textabstractFrame matroids and lifted-graphic matroids are two interesting generalizations of graphic matroids. Here, we introduce a new generalization, quasi-graphic matroids, that unifies these two existing classes. Unlike frame matroids and lifted-graphic matroids, it is easy to certify that a matroid is quasi-graphic. The main result of the article is that every 3-connected representable quasi-graphic matroid is either a lifted-graphic matroid or a frame matroid