activity
20122019
most citedNarrowing the Complexity Gap for Colouring (,)-Free Graphs

8 citations · 17 across the 8 of their papers we have counts for

collaborators

8 papers

cs.DM20194 cited

On the Parameterized Complexity of -Edge Colouring

Esther Galby, Paloma T. Lima, Daniël Paulusma +1

For every fixed integer , we prove that -Edge Colouring is fixed-parameter-tractable when parameterized by the number of vertices of maximum degree.

math.CO2016

Well-Quasi-Ordering versus Clique-Width: New Results on Bigenic Classes

Konrad K. Dabrowski, Vadim V. Lozin, Daniël Paulusma

Daligault, Rao and Thomassé asked whether a hereditary class of graphs well-quasi-ordered by the induced subgraph relation has bounded clique-width. Lozin, Razgon and Zamaraev rece…

cs.DS20161 cited

Squares of Low Maximum Degree

Manfred Cochefert, Jean-François Couturier, Petr A. Golovach +3

A graph H is a square root of a graph G if G can be obtained from H by adding an edge between any two vertices in H that are of distance 2. The Square Root problem is that of decid…

cs.DM20143 cited

Editing to Eulerian Graphs

Konrad K. Dabrowski, Petr A. Golovach, Pim van 't Hof +1

We investigate the problem of modifying a graph into a connected graph in which the degree of each vertex satisfies a prescribed parity constraint. Let , and denote t…

cs.CC20148 cited

Narrowing the Complexity Gap for Colouring (,)-Free Graphs

Shenwei Huang, Matthew Johnson, Daniël Paulusma

For a positive integer and graph , a -colouring of is a mapping such that whenever . The -Colourin…

cs.DM20141 cited

Clique-width of Graph Classes Defined by Two Forbidden Induced Subgraphs

Konrad K. Dabrowski, Daniël Paulusma

If a graph has no induced subgraph isomorphic to any graph in a finite family , it is said to be -free. The class of -free graphs has bound…