论文标题

图形产品的奇数

Odd Colourings of Graph Products

论文作者

Dujmović, Vida, Morin, Pat, Odak, Saeed

论文摘要

奇数着色编号是Petruševski和škrekovski引入的新图参数。在本说明中,我们表明具有所谓产品结构的图具有有限的奇数色数。通过$ k $ - 平面图的产品结构的已知结果,这意味着$ k $ - 平面图具有有限的奇数彩色数字,它回答了Cranston,Lafferty和Song的问题。

The odd colouring number is a new graph parameter introduced by Petruševski and Škrekovski. In this note, we show that graphs with so called product structure have bounded odd-colouring number. By known results on the product structure of $k$-planar graphs, this implies that $k$-planar graphs have bounded odd-colouring number, which answers a question of Cranston, Lafferty, and Song.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源