38 citations · 246 across the 68 of their papers we have counts for
8 papers · 1 filter
Colouring Graphs Without a Subdivided H-Graph: A Full Complexity Classification
Tala Eagling-Vose, Jorik Jooken, Felicia Lucke +2
We consider Colouring on graphs that are -subgraph-free for some fixed graph , which are graphs that do not contain as a subgraph. To classify the complexity of Colouring…
Graph Classes Closed under Self-intersection
Konrad K. Dabrowski, Vadim V. Lozin, Martin Milanič +3
A graph class is monotone if it is closed under taking subgraphs. It is known that a monotone class defined by finitely many obstructions has bounded treewidth if and only if one o…
Finding -Cuts in Probe -Free Graphs
Konrad K. Dabrowski, Tala Eagling-Vose, Matthew Johnson +2
For an integer , the -Cut problem is that of deciding whether a graph has an edge cut in which each vertex is adjacent to at most vertices on the opposite side of t…
Bounding Width on Graph Classes of Constant Diameter
Konrad K. Dabrowski, Tala Eagling-Vose, Noleen Köhler +2
We determine if the width of a graph class changes from unbounded to bounded if we consider only those graphs from whose diameter is bounded. As parameters we…
Finding d-Cuts in Claw-free Graphs
Jungho Ahn, Tala Eagling-Vose, Felicia Lucke +2
The Matching Cut problem is to decide if the vertex set of a connected graph can be partitioned into two non-empty sets and such that the edges between and form a m…
Colouring Probe -Free Graphs
Daniël Paulusma, Johannes Rauch, Erik Jan van Leeuwen
The NP-complete problems Colouring and k-Colouring ) are well studied on -free graphs, i.e., graphs that do not contain some fixed graph as an induced subgraph. We…