It is known that all claw-free perfect graphs can be decomposed via clique-cutsets into two types of indecomposable graphs respectively called elementary and peculiar (1988, V. Chva tal and N. Sbihi, J. Combin. Theory Ser. B 44, 154 176). We show here that every elementary graph is made up in a well
On the choice number of claw-free perfect graphs
✍ Scribed by Sylvain Gravier; Frédéric Maffray
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 273 KB
- Volume
- 276
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
We prove that every 3-chromatic claw-free perfect graph is 3-choosable.
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