The edges of the Cartesian product of graphs G x H a r e to be colored with the condition that all rectangles, i.e., K2 x K2 subgraphs, must be colored with four distinct colors. The minimum number of colors in such colorings is determined for all pairs of graphs except when G is 5-chromatic and H
β¦ LIBER β¦
On edge orienting methods for graph coloring
β Scribed by Bernard Gendron; Alain Hertz; Patrick St-Louis
- Book ID
- 106407071
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 513 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1382-6905
No coin nor oath required. For personal study only.
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An edge-coloring of a simple graph \(G\) with colors \(1,2, \ldots, t\) is called an interval \(t\)-coloring [3] if at least one edge of \(G\) is colored by color \(i, i=1, \ldots, t\) and the edges incident with each vertex \(x\) are colored by \(d_{G}(x)\) consecutive colors, where \(d_{G}(x)\) is