Linear kernels for edge deletion problems to immersion-closed graph classes

AC Giannopoulou, M Pilipczuk, DM Thilikos… - arXiv preprint arXiv …, 2016 - arxiv.org
deletion of vertices instead of edges, then the graph class Gim k is not closed under taking
immersions (for example, in a star on 7 vertices with duplicated edges, deletingedge deletion

Linear kernels for edge deletion problems to immersion-closed graph classes

A Giannopoulou, M Pilipczuk, JF Raymond… - SIAM Journal on Discrete …, 2021 - SIAM
… consider deletion of vertices instead of edges, then the graph class Gim k is not closed under
taking immersions (for example, in a star on seven vertices with duplicated edges, deleting

Linear Kernels for Edge Deletion Problems to Immersion-Closed Graph Classes

DM Thilikos, A Giannopoulou, M Pilipczuk… - SIAM Journal on …, 2021 - hal.science
deletion of vertices instead of edges, then the graph class Gim k is not closed under taking
immersions (for example, in a star on 7 vertices with duplicated edges, deletingedge deletion

Polynomial kernel for immersion hitting in tournaments

Ł Bożyk, M Pilipczuk - arXiv preprint arXiv:2208.07789, 2022 - arxiv.org
… We prove that for every H, this problem admits a polynomial kernel when parameterized by
Linear kernels for edge deletion problems to immersion-closed graph classes. SIAM Journal …

Bidimensionality and kernels

FV Fomin, D Lokshtanov, S Saurabh… - SIAM Journal on …, 2020 - SIAM
… First, we show that every graph class with the SQGM or the SQGC property admit a treewidth…
Wrochna, Linear kernels for edge deletion problems to immersion-closed graph classes, in …

A note on clique immersion of strong product graphs

C Wu, Z Deng - Discrete Mathematics, 2025 - Elsevier
… A graph in this paper is permitted to have parallel edges (but no loops), unless it is … the
graph L ( G ) is always simple. Line graphs constitute a strictly larger class than the line graphs of …

[PDF][PDF] Obstructions and algorithms for graph layout problems

D Zoros - 2017 - users.uoa.gr
… of graphs, graph parameters and graph classes without … series of vertex and/or edge
deletion and vertex dissolution. … of immersion-closed graph classes, where their respective …

A note on the immersion number of generalized Mycielski graphs

KL Collins, ME Heenehan, J McDonald - … , Graph Theory, and Computing, 2021 - Springer
… We also include examples of classes of graphs where \(\textrm{im}(\mu _m(G))\) exceeds
the lower bound. We conclude with a conjecture about \(\textrm{im}(\mu _m(K_t))\). …

Losing treewidth by separating subsets

A Gupta, E Lee, J Li, P Manurangsi… - Proceedings of the Thirtieth …, 2019 - SIAM
… H-Edge Deletion) problem, we are given a graph G and we … vertex deletion problems for
hereditary graph classes with a … Linear kernels and singleexponential algorithms via protrusion …

Jungles, bundles, and fixed-parameter tractability

FV Fomin, M Pilipczuk - Proceedings of the Twenty-Fourth Annual ACM-SIAM …, 2013 - SIAM
… • Vertex deletion distance to every immersion-closed class of … More precisely, for every
immersionclosed class Π of semi-… A simpler linear time algorithm for embedding graphs into an …