4 citations · 6 across the 12 of their papers we have counts for
5 papers · 1 filter
Non-crossing -graphs: a generalization of proper interval graphs admitting FPT algorithms
Flavia Bonomo-Braberman, Nick Brettell, Noleen Köhler +2
We prove new parameterized complexity results for the FO Model Checking problem on a well-known generalization of interval and circular-arc graphs: the class of -graphs, for any…
Hard Problems That Quickly Become Very Easy
Barnaby Martin, Daniël Paulusma, Siani Smith
A graph class is hereditary if it is closed under vertex deletion. We give examples of NP-hard, PSPACE-complete and NEXPTIME-complete problems that become constant-time solvable fo…
On Colouring -Free and -Free Graphs
Konrad Dabrowski, Daniel Paulusma
The Colouring problem asks whether the vertices of a graph can be coloured with at most colours for a given integer in such a way that no two adjacent vertices receive the…
Surjective H-Colouring over Reflexive Digraphs
Benoit Larose, Barnaby Martin, Daniel Paulusma
The Surjective H-Colouring problem is to test if a given graph allows a vertex-surjective homomorphism to a fixed graph H. The complexity of this problem has been well studied for…
Critical Vertices and Edges in -free Graphs
Daniël Paulusma, Christophe Picouleau, Bernard Ries
A vertex or edge in a graph is critical if its deletion reduces the chromatic number of the graph by 1. We consider the problems of deciding whether a graph has a critical vertex o…