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Updating the complexity status of coloring graphs without a fixed induced linear forest

✍ Scribed by Hajo Broersma; Petr A. Golovach; Daniël Paulusma; Jian Song


Book ID
113927569
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
330 KB
Volume
414
Category
Article
ISSN
0304-3975

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Let t(G) denote the cardinality of a maximum induced forest of a graph G with n vertices. For connected simple cubic graphs G without triangles, it is shown that r(G) 3 2n/3 except for two particular graphs. This lower bound is sharp and it improves a result due to J.A. Bondy, et al. [l]. Using this