English

A Proof Technique for Skewness of Graphs

Combinatorics 2017-09-20 v1

Abstract

The skewness of a graph G is the minimum number of edges in G whose removal results in a planar graph. By appropriately introducing a weight to each edge of a graph, we determine, among other thing, the skewness of the generalized Petersen graph P(4k, k) for odd k at least 9. This provides an answer to the conjecture raised in [3].

Keywords

Cite

@article{arxiv.1709.06280,
  title  = {A Proof Technique for Skewness of Graphs},
  author = {Gek L. Chia and Chan L. Lee and Yan Hao Ling},
  journal= {arXiv preprint arXiv:1709.06280},
  year   = {2017}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-22T21:47:49.976Z