Excluding a bipartite circle graph from line graphs
نویسنده
چکیده
We prove that for fixed bipartite circle graph H, all line graphs with sufficiently large rank-width (or clique-width) must contain an isomorphic copy of H as a pivotminor. To prove this, we introduce graphic delta-matroids. Graphic delta-matroids are minors of delta-matroids of line graphs and they generalize graphic or cographic matroids.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 60 شماره
صفحات -
تاریخ انتشار 2009