Algorithms for deletion problems on split graphs

Dekel Tsur

doi:https://doi.org/10.1016/j.ipl.2020.106066

Algorithms for deletion problems on split graphs

Dekel Tsur

Department of Computer Science

Ben-Gurion University of the Negev

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

Abstract

In the SPLIT TO BLOCK VERTEX DELETION and SPLIT TO THRESHOLD VERTEX DELETION problems the input is a split graph G and an integer k, and the goal is to decide whether there is a set S of vertices of size at most k such that G−S is a block graph and G−S is a threshold graph, respectively. In this paper we give algorithms for these problems whose running times are O^⁎(2.076^k) and O^⁎(1.619^k), respectively.

Original language	American English
Article number	106066
Journal	Information Processing Letters
Volume	167
DOIs	https://doi.org/10.1016/j.ipl.2020.106066
State	Published - 1 Apr 2021

Keywords

Graph algorithms
Parameterized complexity
Split graphs

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.2020.106066

Cite this

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title = "Algorithms for deletion problems on split graphs",

abstract = "In the SPLIT TO BLOCK VERTEX DELETION and SPLIT TO THRESHOLD VERTEX DELETION problems the input is a split graph G and an integer k, and the goal is to decide whether there is a set S of vertices of size at most k such that G−S is a block graph and G−S is a threshold graph, respectively. In this paper we give algorithms for these problems whose running times are O⁎(2.076k) and O⁎(1.619k), respectively.",

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AB - In the SPLIT TO BLOCK VERTEX DELETION and SPLIT TO THRESHOLD VERTEX DELETION problems the input is a split graph G and an integer k, and the goal is to decide whether there is a set S of vertices of size at most k such that G−S is a block graph and G−S is a threshold graph, respectively. In this paper we give algorithms for these problems whose running times are O⁎(2.076k) and O⁎(1.619k), respectively.

KW - Graph algorithms

KW - Parameterized complexity

KW - Split graphs

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JO - Information Processing Letters

JF - Information Processing Letters

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ER -

Algorithms for deletion problems on split graphs

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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