Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6871506 | Discrete Applied Mathematics | 2018 | 15 Pages |
Abstract
A pseudoforest is a graph where each connected component contains at most one cycle, or alternatively, a graph that can be turned into a forest by removing at most one edge from each connected component. In this paper, we show that the following problem can be solved in O(3knkO(1)) time: given a graph G and an integer k, can we delete at most k vertices from G such that we obtain a pseudoforest? The result improves upon an earlier result by Philip et al. (2015) who gave a (nonlinear) 7.56knO(1)-time algorithm both in the exponential factor depending on k as well as in the polynomial factor depending on n.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Hans L. Bodlaender, Hirotaka Ono, Yota Otachi,