Degenerate and star colorings of graphs on surfaces
| dc.creator | Mohar, Bojan | |
| dc.creator | Spacapan, Simon | |
| dc.date | 2008-06-06 | |
| dc.date.accessioned | 2026-07-07T09:43:15Z | |
| dc.date.available | 2026-07-07T09:43:15Z | |
| dc.description | We study the degenerate, the star and the degenerate star chromatic numbers and their relation to the genus of graphs. As a tool we prove the following strengthening of a result of Fertin et al.: If $G$ is a graph of maximum degree $Δ$, then $G$ admits a degenerate star coloring using $O(Δ^{3/2})$ colors. We use this result to prove that every graph of genus $g$ admits a degenerate star coloring with $O(g^{3/5})$ colors. It is also shown that these results are sharp up to a logarithmic factor. | |
| dc.description | 16 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0806.1242 | |
| dc.identifier | http://arxiv.org/abs/0806.1242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162484 | |
| dc.subject | Combinatorics | |
| dc.subject | 05C15 | |
| dc.title | Degenerate and star colorings of graphs on surfaces | |
| dc.type | text |