- Abstract:
-
For any graph H, let Forb*(H) be the class of graphs with no induced subdivision of H. It was conjectured in [J Graph Theory, 24 (1997), 297-311] that, for every graph H, there is a function f H: ℕ→ℝ such that for every graph G∈Forb*(H), Χ(G) ≤ f H(ω(G)). We prove this conjecture for several graphs H, namely the paw (a triangle with a pendant edge), the bull (a triangle with two vertex-disjoint pendant edges), and what we call a "necklace" that is, a graph obtained from a path by choosing a m...
Expand abstract - Publisher copy:
- 10.1002/jgt.20631
-
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- Journal:
- Journal of Graph Theory
- Volume:
- 71
- Issue:
- 1
- Pages:
- 49-68
- Publication date:
- 2012-09-05
- DOI:
- EISSN:
-
1097-0118
- ISSN:
-
0364-9024
- URN:
-
uuid:a3d34db1-1b7d-4143-992e-043ce4c13786
- Source identifiers:
-
395904
- Local pid:
- pubs:395904
- Language:
- English
- Keywords:
- Copyright date:
- 2012
Journal article
Excluding induced subdivisions of the bull and related graphs
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