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- W2021777257 abstract "A feedback vertex set of a graph G is a set S of its vertices such that the subgraph induced by V(G)∖S is a forest. The cardinality of a minimum feedback vertex set of G is denoted by ∇(G). A graph G is 2-degenerate if each subgraph G′ of G has a vertex v such that dG′(v)≤2. In this paper, we prove that ∇(G)≤2n/5 for any 2-degenerate n-vertex graph G and moreover, we show that this bound is tight. As a consequence, we derive a polynomial time algorithm, which for a given 2-degenerate n-vertex graph returns its feedback vertex set of cardinality at most 2n/5." @default.
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- W2021777257 date "2014-11-01" @default.
- W2021777257 modified "2023-09-26" @default.
- W2021777257 title "A feedback vertex set of 2-degenerate graphs" @default.
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- W2021777257 doi "https://doi.org/10.1016/j.tcs.2014.08.016" @default.
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