𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a problem concerning ordered colourings

✍ Scribed by Louis Caccetta; Rui Zhong Jia


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
192 KB
Volume
190
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


Let G be a connected graph with v(G)>~2 vertices and independence number ~(G). G is critical if for any edge e of G: (i) ~(G -e) > ct(G), if e is not a cut edge of G, and

, 2, ife is a cut edge and Gi, G2 are the two components of G-e.


πŸ“œ SIMILAR VOLUMES


On ordered sets without 2-colourings
✍ Zbigniew Lonc πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 829 KB

We say that an ordered set has a k-coloring if its elements can be colored with k colors such that no maximal nontrivial antichain is monochromatic. It was shown by Duffus, Kierstead and Trotter that each ordered set has a 3-coloring. Very few examples of ordered sets not admitting 2-colorings have

On a problem concerning tolerance graphs
✍ Thomas Andreae; Ulf Hennig; Andreas Parra πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 406 KB
On a graph colouring problem
✍ Maurice Cochand; Gyula KΓ‘rolyi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 196 KB