Excluding a Long Double Path Minor

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Excluding a Long Double Path Minor

The ``height'' of a graph G is defined to be the number of steps to construct G by two simple graph operations. Let Bn be the graph obtained from an n-edge path by doubling each edge in parallel. Then, for any minor-closed class G of graphs, the following are proved to be equivalent: (1) Some Bn is not in G; (2) There is a number h such that every graph in G has height at most h; (3) G is well-...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 1996

ISSN: 0095-8956

DOI: 10.1006/jctb.1996.0002