12 citations · 47 across the 20 of their papers we have counts for
5 papers · 1 filter
Neighborhood complexity and kernelization for nowhere dense classes of graphs
Kord Eickmeyer, Archontia C. Giannopoulou, Stephan Kreutzer +4
We prove that whenever is a graph from a nowhere dense graph class , and is a subset of vertices of , then the number of subsets of that are realized as…
Linear kernels for edge deletion problems to immersion-closed graph classes
Archontia C. Giannopoulou, Michał Pilipczuk, Dimitrios M. Thilikos +2
Suppose is a finite family of graphs. We consider the following meta-problem, called -Immersion Deletion: given a graph and integer , decide wheth…
Cutwidth: obstructions and algorithmic aspects
Archontia C. Giannopoulou, Michał Pilipczuk, Jean-Florent Raymond +2
Cutwidth is one of the classic layout parameters for graphs. It measures how well one can order the vertices of a graph in a linear manner, so that the maximum number of edges betw…
Packing and Covering Immersion Models of Planar subcubic Graphs
Archontia Giannopoulou, O-joung Kwon, Jean-Florent Raymond +1
A graph is an immersion of a graph if can be obtained by some sugraph after lifting incident edges. We prove that there is a polynomial function $f:\Bbb{N}\times\Bb…
The Structure of -Immersion-Free Graphs
Rémy Belmonte, Archontia Giannopoulou, Daniel Lokshtanov +1
We study the structure of graphs that do not contain the wheel on 5 vertices W4 as an immersion, and show that these graphs can be constructed via 1, 2, and 3-edge-sums from subcub…