English

An upper bound for the crossing number of bubble-sort graph Bn

Discrete Mathematics 2012-11-20 v1 Combinatorics

Abstract

The crossing number of a graph G is the minimum number of pairwise intersections of edges in a drawing of G. Motivated by the recent work [Faria, L., Figueiredo, C.M.H. de, Sykora, O., Vrt'o, I.: An improved upper bound on the crossing number of the hypercube. J. Graph Theory 59, 145-161 (2008)], we give an upper bound of the crossing number of n-dimensional bubble-sort graph Bn.

Keywords

Cite

@article{arxiv.1211.4433,
  title  = {An upper bound for the crossing number of bubble-sort graph Bn},
  author = {Baigong Zheng and Yuansheng Yang and Xirong Xu},
  journal= {arXiv preprint arXiv:1211.4433},
  year   = {2012}
}

Comments

20 pages, 10 figures