Corpus ID: 207930660

# A Polynomial Kernel for Funnel Arc Deletion Set

@article{Milani2019APK,
title={A Polynomial Kernel for Funnel Arc Deletion Set},
author={Marcelo Garlet Milani},
journal={ArXiv},
year={2019},
volume={abs/1911.05520}
}
• Marcelo Garlet Milani
• Published 2019
• Mathematics, Computer Science
• ArXiv
• In Directed Feeback Arc Set (DFAS) we search for a set of at most $k$ arcs which intersect every cycle in the input digraph. It is a well-known open problem in parameterized complexity to decide if DFAS admits a kernel of polynomial size. We consider $\mathcal{C}$-Arc Deletion Set ($\mathcal{C}$-ADS), a variant of DFAS where we want to remove at most $k$ arcs from the input digraph in order to turn it into a digraph of a class $\mathcal{C}$. In this work, we choose $\mathcal{C}$ to be the class… CONTINUE READING

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 11 REFERENCES

## Polynomial kernels for deletion to classes of acyclic digraphs

• Mathematics, Computer Science
• Discret. Optim.
• 2017
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL

## Efficient algorithms for measuring the funnel-likeness of DAGs

• Mathematics, Computer Science
• J. Comb. Optim.
• 2020
VIEW 3 EXCERPTS

## Kernelization: Theory of Parameterized Preprocessing

• Computer Science
• 2019
VIEW 1 EXCERPT

## Wannabe Bounded Treewidth Graphs Admit a Polynomial Kernel for DFVS

• Computer Science
• 2019
VIEW 2 EXCERPTS

## Kernels for deletion to classes of acyclic digraphs

• Mathematics, Computer Science
• J. Comput. Syst. Sci.
• 2018
VIEW 1 EXCERPT

## Algorithms and Kernels for Feedback Set Problems in Generalizations of Tournaments

• Mathematics, Computer Science
• Algorithmica
• 2015
VIEW 1 EXCERPT

## Recent developments in kernelization: A survey

VIEW 1 EXCERPT

## Fundamentals of parameterized complexity, volume

• Rodney G Downey, Michael R Fellows
• 2013
VIEW 1 EXCERPT

## Kernelization - Preprocessing with a Guarantee

• Mathematics, Computer Science
• The Multivariate Algorithmic Revolution and Beyond
• 2012
VIEW 1 EXCERPT

## A kernelization algorithm for d-Hitting Set

VIEW 1 EXCERPT