This note proves that the game chromatic number of an outerplanar graph is at most 7. This improves the previous known upper bound of the game chromatic number of outerplanar graphs.
Chromatic polynomials, polygon trees, and outerplanar graphs
✍ Scribed by C. D. Wakelin; D. R. Woodall
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 370 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
It is proved that all classes of polygon trees are characterized by their chromatic polynomials, and a characterization is given of those polynominals that are chromatic polynomials of outerplanar graphs. The first result yields an alternative proof that outerplanar graphs are recognizable from their vertex‐deleted subgraphs. © 1929 John Wiley & Sons, Inc.
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