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Minimal acyclic forbidden minors for the family of graphs with bounded path-width. (English) Zbl 0795.05123
The authors characterize the minimal acyclic forbidden minors for the families $$F_ k$$ and $$P_ k$$ of graphs with path-width and proper path- width, respectively, at most $$k$$. They also give estimates for the number of minimal forbidden minors for $$F_ k$$ and $$P_ k$$ and for the number of vertices in the largest minimal forbidden minors for $$F_ k$$ and $$P_ k$$.

##### MSC:
 05C75 Structural characterization of families of graphs 05C35 Extremal problems in graph theory
##### Keywords:
forbidden minors; path-width
Full Text:
##### References:
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