Diameter and Treewidth in Minor-Closed Graph Families, Revisited

@article{Demaine2004DiameterAT,
  title={Diameter and Treewidth in Minor-Closed
Graph Families, Revisited},
  author={E. Demaine and M. Hajiaghayi},
  journal={Algorithmica},
  year={2004},
  volume={40},
  pages={211-215}
}
Abstract Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes, e.g., planar graphs. This characterization has been used as the basis for several (approximation) algorithms on such graphs (e.g., [2] and [5]–[8]). The proof of Eppstein is complicated. In this short paper we obtain the same characterization with a simple proof. In addition, the relation between treewidth and diameter is slightly better and… Expand
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