中文

A linear upper bound on the rectilinear crossing number

组合数学 2007-05-23 v2

摘要

It is proved that the rectilinear crossing number of every graph with bounded tree-width and bounded degree is linear in the number of vertices. **** This paper has been withdrawn by the author. **** The results have been superseeded by the author's paper with Jan Arne Telle: "Planar decompositions and the crossing number of graphs with an excluded minor", http://arxiv.org/math/0604467.

关键词

引用

@article{arxiv.math/0512392,
  title  = {A linear upper bound on the rectilinear crossing number},
  author = {David R. Wood},
  journal= {arXiv preprint arXiv:math/0512392},
  year   = {2007}
}

备注

This paper has been withdrawn by the author. The results have been superseeded by the author's paper with Jan Arne Telle: "Planar decompositions and the crossing number of graphs with an excluded minor", http://arxiv.org/math/0604467