Kernel for Kt-FREE EDGE DELETION

Dekel Tsur

doi:10.1016/j.ipl.2020.106082

Kernel for K_t-FREE EDGE DELETION

Dekel Tsur

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In the K_t-FREE EDGE DELETION problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k edges of G whose removal results in a graph with no clique of size t. In this paper we give a kernel to this problem with O(k^t−1) vertices and edges.

Original language	English
Article number	106082
Journal	Information Processing Letters
Volume	167
DOIs	https://doi.org/10.1016/j.ipl.2020.106082
State	Published - 1 Apr 2021

Keywords

Graph algorithms
Kernelization
Parameterized complexity

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

Access to Document

10.1016/j.ipl.2020.106082

Cite this

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title = "Kernel for Kt-FREE EDGE DELETION",

abstract = "In the Kt-FREE EDGE DELETION problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k edges of G whose removal results in a graph with no clique of size t. In this paper we give a kernel to this problem with O(kt−1) vertices and edges.",

keywords = "Graph algorithms, Kernelization, Parameterized complexity",

author = "Dekel Tsur",

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year = "2021",

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AB - In the Kt-FREE EDGE DELETION problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k edges of G whose removal results in a graph with no clique of size t. In this paper we give a kernel to this problem with O(kt−1) vertices and edges.

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KW - Kernelization

KW - Parameterized complexity

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