We revisit a graph width parameter that we dub bipartite treewidth, alon...
Given a digraph D=(V,A) on n vertices and a vertex v∈ V, the
cycle-degre...
We present new min-max relations in digraphs between the number of paths...
Let G be a minor-closed graph class and let G be an n-vertex
graph. We s...
The CONTRACTION(vc) problem takes as input a graph G on n vertices and
t...
We introduce a novel model-theoretic framework inspired from graph
modif...
We study three problems introduced by Bang-Jensen and Yeo [Theor. Comput...
For a finite collection of graphs F, the F-M-DELETION
problem consists i...
For a finite collection of graphs F, the F-M-DELETION
(resp. F-TM-DELETI...
Let G be a minor-closed graph class. We say that a graph G is a
k-apex o...
We introduce a supporting combinatorial framework for the Flat Wall Theo...
A blocking set in a graph G is a subset of vertices that intersects ever...
In the Maximum Minimal Vertex Cover (MMVC) problem, we are given a graph...
The Grid Theorem of Robertson and Seymour [JCTB, 1986], is one of the mo...
A target set selection model is a graph G with a threshold function
τ:V→...
Given a graph G and a digraph D whose vertices are the edges of G, we
in...
For a graph parameter π, the Contraction(π) problem consists in,
given a...
We study the kernelization complexity of structural parameterizations of...
Let G be a graph class. We say that a graph G is a k-apex of
G if G cont...
We investigate a number of coloring problems restricted to bipartite gra...
For a fixed graph H, the H-IS-Deletion problem asks, given a graph G,
fo...
We study the complexity of the problems of finding, given a graph G, a
l...
In the Directed Disjoint Paths problem, we are given a digraph D and a s...
For a fixed connected graph H, the {H}-M-DELETION problem asks, given a
...
A matching cut is a partition of the vertex set of a graph into two sets...
Given a graph G, a proper k-coloring of G is a partition c =
(S_i)_i∈ [1...
The input of the Maximum Colored Cut problem consists of a graph G=(V,E)...
Given a simple graph G, a weight function w:E(G)→N∖{0}, and an orientati...
Let W_t denote the wheel on t+1 vertices. We prove that for every intege...