Faster algorithms for cograph edge modification problems

Dekel Tsur

doi:https://doi.org/10.1016/j.ipl.2020.105946

Faster algorithms for cograph edge modification problems

Dekel Tsur

Department of Computer Science

Ben-Gurion University of the Negev

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

Abstract

In the COGRAPH DELETION (resp., COGRAPH EDITING) problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of edges of size at most k whose removal from G (resp., removal and addition to G) results in a graph that does not contain an induced path with four vertices. In this paper we give algorithms for COGRAPH DELETION and COGRAPH EDITING whose running times are O^⁎(2.303^k) and O^⁎(4.329^k), respectively.

Original language	American English
Article number	105946
Journal	Information Processing Letters
Volume	158
DOIs	https://doi.org/10.1016/j.ipl.2020.105946
State	Published - 1 Jun 2020

Keywords

Branching algorithms
Graph algorithms
Parameterized complexity

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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https://doi.org/10.1016/j.ipl.2020.105946

Cite this

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abstract = "In the COGRAPH DELETION (resp., COGRAPH EDITING) problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of edges of size at most k whose removal from G (resp., removal and addition to G) results in a graph that does not contain an induced path with four vertices. In this paper we give algorithms for COGRAPH DELETION and COGRAPH EDITING whose running times are O⁎(2.303k) and O⁎(4.329k), respectively.",

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AB - In the COGRAPH DELETION (resp., COGRAPH EDITING) problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of edges of size at most k whose removal from G (resp., removal and addition to G) results in a graph that does not contain an induced path with four vertices. In this paper we give algorithms for COGRAPH DELETION and COGRAPH EDITING whose running times are O⁎(2.303k) and O⁎(4.329k), respectively.

KW - Branching algorithms

KW - Graph algorithms

KW - Parameterized complexity

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JO - Information Processing Letters

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ER -

Faster algorithms for cograph edge modification problems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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