Properties of Regular Uniform k—Stratified Graphs
✍ Scribed by Konstantinos Kokkinos; Dionysios Kountanis
- Book ID
- 104444173
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 678 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1571-0653
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We study the k-diameter of k-regular k-connected graphs. Among other results, we show that every k-regular k-connected graph on n vertices has k-diameter at most n/2 and this upper bound cannot be improved when n = 4k -6 + i(2k -4). In particular, the maximal 3-diameter of 3-regular graphs with 2n v
## Abstract The __d__‐distance face chromatic number of a connected plane graph is the minimum number of colors in such a coloring of its faces that whenever two distinct faces are at the distance at most __d__, they receive distinct colors. We estimate 1‐distance chromatic number for connected 4‐r