… and analyze the nowhere dense classes of graphs. This … , classes of graphs with bounded
degree, locally planar graphs, … of graphs and to the dichotomy between nowhere dense and …

… We show that on nowhere dense classes of graphs, this process terminates after a constant
number of steps. The three main steps of our proof, each of which may be of independent …

… On the other hand, very recently it was shown by the authors of this paper that on nowhere
dense classes of graphs, … is another indication that nowhere dense classes of graphs form a …

… set problem on H-minor free graphs, classes of graphs of … heavily on graph structure theory,
our proof depends on a … problems are in FPT on nowhere-dense classes of graphs, which we …

… The core results of this paper are various lower and upper bounds on the weak coloring …
on graphs of bounded treewidth. We clarify and tighten the relation between the density of …

… which is based on the study of homomorphisms of graphs (and … we illustrate our results on
classes of undirected graphs. … on the logarithmic asymptotic densities of graphs densities of …

… on nowhere dense classes of graphs. This result is particularly interesting, as it implies that
for every class C of graphs … -r dominating set problem admits a kernel on C for every value of r …

… of classes of nowhere dense structures. Classes of nowhere dense structures are defined
in … For a study of classes of nowhere dense graphs, we refer the reader to our companion …

… In the nowhere dense setting, we only have an nε upper bound on the weak coloring number,
and … tools based on model-theoretic properties of nowhere dense classes of graphs. More …

… At first sight, being nowhere dense might seem a weak requirement for a graph class to …
can be decided in almost linear time on graphs belonging to a fixed nowhere dense class. …