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math.CO2022★ 2 cited
Matching Cuts in Graphs of High Girth and H-Free Graphs
Carl Feghali, Felicia Lucke, Daniel Paulusma +1
The (Perfect) Matching Cut problem is to decide if a connected graph has a (perfect) matching that is also an edge cut. The Disconnected Perfect Matching problem is to decide if a…
cs.DM2022
Complexity Framework for Forbidden Subgraphs II: Edge Subdivision and the "H"-graphs
Vadim Lozin, Barnaby Martin, Sukanya Pandey +4
For a fixed set of graphs, a graph is -subgraph-free if does not contain any as a (not necessarily induced) subgraph. A recently propo…
math.CO2022
On The Complexity of Matching Cut for Graphs of Bounded Radius and -Free Graphs
Felicia Lucke, Daniël Paulusma, Bernard Ries
For a connected graph , a matching is a matching cut of if is disconnected. It is known that for an integer , the corresponding decision proble…