Let G be an undirected connected graph with n nodes. A subset F of nodes of G is a feedback vertex set (fvs) if G -F is a forest and a subset J of nodes of G is a nonseparating independent set (nsis) if no two nodes of J are adjacent and G -J is connected. f(G), z ( G ) denote the cardinalities of a
A new bound on the feedback vertex sets in cubic graphs
โ Scribed by Jiping Liu; Cheng Zhao
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 461 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
In this paper a new upper bound for the feedback set of cubic graphs is obtained. This result answers a question posed by Speckenmeyer (1986, 1988) in the field of feedback vertex set and improves several former results due to Bondy et al. (1987). Also this new bound is sharp in some cases.
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