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The poset on connected induced subgraphs of a graph need not be Sperner

✍ Scribed by Michael S. Jacobson; André E. Kézdy; Steve Seif


Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
224 KB
Volume
12
Category
Article
ISSN
0167-8094

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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