# Bled'11 - 7th Slovenian International Conference on Graph Theory

19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
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# Packing coloring and grids

Presented by Mr. Bernard LIDICKY
Type: Oral presentation
Track: Domination, Independence and Coloring of Product Graphs

## Content

The packing chromatic number $\chi_{\rho}(G)$ of a graph $G$ is the smallest integer $k$ such that vertices of $G$ can be partitioned into disjoint classes $X_{1}, ..., X_{k}$ where vertices in $X_{i}$ have pairwise distance greater than $i$. We improve bounds on the packing chromatic number of the square and hexagonal grids and discuss the packing chromatic number of distance graphs, which sometimes look like a grid.

## Place

Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled

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