activity
20142025
most citedA Survey on the Computational Complexity of Colouring Graphs with Forbidden Subgraphs

25 citations · 79 across the 15 of their papers we have counts for

collaborators

31 papers

cs.DS2025

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…

math.CO2023★ 2 cited

Complexity Framework for Forbidden Subgraphs IV: The Steiner Forest Problem

Hans L. Bodlaender, Matthew Johnson, Barnaby Martin +5

We study Steiner Forest on -subgraph-free graphs, that is, graphs that do not contain some fixed graph as a (not necessarily induced) subgraph. We are motivated by a recent…

cs.DS2023

Complexity Framework for Forbidden Subgraphs III: When Problems are Tractable on Subcubic Graphs

Matthew Johnson, Barnaby Martin, Sukanya Pandey +3

For any finite set of graphs, a graph is -subgraph-free if it does not contain any of as a subgraph. In recent work…

math.CO2022★ 1 cited

Complexity Framework For Forbidden Subgraphs I: The Framework

Matthew Johnson, Barnaby Martin, Jelle J. Oostveen +4

For any particular class of graphs, algorithms for computational problems restricted to the class often rely on structural properties that depend on the specific problem at hand. T…

cs.GT2022★ 10 cited

The Complexity of Matching Games: A Survey

Márton Benedek, Péter Biró, Matthew Johnson +2

Matching games naturally generalize assignment games, a well-known class of cooperative games. Interest in matching games has grown recently due to some breakthrough results and ne…

cs.DS2020

Computing Weighted Subset Transversals in -Free Graphs

Nick Brettell, Matthew Johnson, Daniel Paulusma

For the Odd Cycle Transversal problem, the task is to find a small set of vertices in a graph that intersects every cycle of odd length. The Subset Odd Cycle Transversal proble…