# Approximation and Kernelization for Chordal Vertex Deletion

@article{Jansen2017ApproximationAK, title={Approximation and Kernelization for Chordal Vertex Deletion}, author={Bart M. P. Jansen and Marcin Pilipczuk}, journal={ArXiv}, year={2017}, volume={abs/1605.03001} }

- Published in SIAM J. Discrete Math. 2017
DOI:10.1137/17M112035X

The Chordal Vertex Deletion (ChVD) problem asks to delete a minimum number of vertices from an input graph to obtain a chordal graph. In this paper we develop a polynomial kernel for ChVD under the parameterization by the solution size, as well as poly(opt) approximation algorithm. The first result answers an open problem of Marx from 2006 [WG 2006, LNCS 4271, 37–48].

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 51 REFERENCES

## Improved Approximation Algorithms for Minimum Weight Vertex Separators

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## Improved results for directed multicut

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Chordal Editing is Fixed-Parameter Tractable

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Parameterized complexity of vertex deletion into perfect graph classes

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## A Polynomial kernel for Proper Interval Vertex Deletion

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Compression via Matroids: A Randomized Polynomial Kernel for Odd Cycle Transversal

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## (Meta) Kernelization

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Chordal Deletion is Fixed-Parameter Tractable

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## A 2-Approximation Algorithm for the Undirected Feedback Vertex Set Problem

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Optimization of Pearl's Method of Conditioning and Greedy-Like Approximation Algorithms for the Vertex Feedback Set Problem

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

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