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20112023
most citedOn the bend number of circular-arc graphs as edge intersection graphs of paths on a grid

13 citations · 36 across the 16 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

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…

math.CO2022★ 1 cited

Finding Matching Cuts in -Free Graphs

Felicia Lucke, Daniël Paulusma, Bernard Ries

The NP-complete problem Matching Cut is to decide if a graph has a matching that is also an edge cut of the graph. We prove new complexity results for Matching Cut restricted to $H…

math.CO2022

Finding -community structures in special graph classes

Narmina Baghirova, Clément Dallard, Bernard Ries +1

For a fixed integer , a -community structure in an undirected graph is a partition of its vertex set into sets called communities, each of size at least two, such th…

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…

cs.DM2022

Locally checkable problems parameterized by clique-width

Narmina Baghirova, Carolina Lucía Gonzalez, Bernard Ries +1

We continue the study initiated by Bonomo-Braberman and Gonzalez in 2020 on -locally checkable problems. We propose a dynamic programming algorithm that takes as input a graph w…