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• # Artykuł - szczegóły

## Open Mathematics

2013 | 11 | 2 | 308-321

## The structure of plane graphs with independent crossings and its applications to coloring problems

EN

### Abstrakty

EN
If a graph G has a drawing in the plane in such a way that every two crossings are independent, then we call G a plane graph with independent crossings or IC-planar graph for short. In this paper, the structure of IC-planar graphs with minimum degree at least two or three is studied. By applying their structural results, we prove that the edge chromatic number of G is Δ if Δ ≥ 8, the list edge (resp. list total) chromatic number of G is Δ (resp. Δ + 1) if Δ ≥ 14 and the linear arboricity of G is ℈Δ/2⌊ if Δ ≥ 17, where G is an IC-planar graph and Δ is the maximum degree of G.

EN

308-321

wydano
2013-02-01
online
2012-11-21

### Twórcy

autor
autor
• Shandong University

### Bibliografia

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