Bounds on Edge Colorings with Restrictions on the Union of Color Classes
β Scribed by Aravind, N. R.; Subramanian, C. R.
- Book ID
- 118197048
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2010
- Tongue
- English
- Weight
- 217 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0895-4801
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π SIMILAR VOLUMES
In this paper, we prove that any edge-coloring critical graph G with maximum degree ΒΏ (11 + β 49 -24 )=2, where 6 1, has the size at least 3(|V (G)| -) + 1 if 6 7 or if ΒΏ 8 and |V (G)| ΒΏ 2 --4 -( + 6)=( -6), where is the minimum degree of G. It generalizes a result of Sanders and Zhao.
## Abstract A (plane) 4βregular map __G__ is called __C__βsimple if it arises as a superposition of simple closed curves (tangencies are not allowed); in this case Ο (__G__) is the smallest integer __k__ such that the curves of __G__ can be colored with __k__ colors in such a way that no two curves
On p. 272 of the above article, paragraph # 3 is incomplete. It should read as the following: Hence to prove Proposition 4 it is enough to show that the edges of Q 4 can be colored with 4 colors in such a way that each square has one edge of each color. Such a coloring is displayed on the following