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The Cartographer
A Naive Algorithm for Feedback Vertex Set
July 27, 2017 Β· Declared Dead Β· π SIAM Symposium on Simplicity in Algorithms
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Authors
Yixin Cao
arXiv ID
1707.08684
Category
cs.DS: Data Structures & Algorithms
Citations
11
Venue
SIAM Symposium on Simplicity in Algorithms
Last Checked
4 months ago
Abstract
Given a graph on $n$ vertices and an integer $k$, the feedback vertex set problem asks for the deletion of at most $k$ vertices to make the graph acyclic. We show that a greedy branching algorithm, which always branches on an undecided vertex with the largest degree, runs in single-exponential time, i.e., $O(c^k\cdot n^2)$ for some constant $c$.
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