Excluding a bipartite circle graph from line graphs
Sang‐il Oum · Journal of Graph Theory · 2008
Abstract We prove that, for a fixed bipartite circle graph H, all line graphs with sufficiently large rank‐width (or clique‐width) must have a pivot‐minor isomorphic to H. To prove this, we introduce graphic delta‐matroids. Graphic delta‐matroids are minors of delta‐matroids of line graphs and they generalize graphic and cographic matroids. © 2008 Wiley Periodicals, Inc. J Graph Theory 60: 183–203, 2009