Elimination Distance to Bounded Degree on Planar Graphs Preprint

Article type: Research Article

Authors: Lindermayr, Alexander | Siebertz, Sebastian | Vigny, Alexandre^{; *}

Affiliations: University of Bremen, Germany. linderal@uni-bremen.de, siebertz@uni-bremen.de, vigny@uni-bremen.de

Correspondence: [*] Address for correspondence: University of Bremen, Bibliothekstraße 1, 28359 Bremen, Germany.

Abstract: We study the graph parameter elimination distance to bounded degree, which was introduced by Bulian and Dawar in their study of the parameterized complexity of the graph isomorphism problem. We prove that the problem is fixed-parameter tractable on planar graphs, that is, there exists an algorithm that given a planar graph G and integers d, k decides in time f(k, d) · nc for a computable function f and constant c whether the elimination distance of G to the class of degree d graphs is at most k.

DOI: 10.3233/FI-242175

Journal: Fundamenta Informaticae, vol. 191, no. 2, pp. 129-140, 2024