activity
20092026
most citedRank-width: Algorithmic and structural results

47 citations · 678 across the 85 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

math.CO2023

Computing pivot-minors

Konrad K. Dabrowski, François Dross, Jisu Jeong +4

A graph contains a graph as a pivot-minor if can be obtained from by applying a sequence of vertex deletions and edge pivots. Pivot-minors play an important role in…

math.CO2023★ 3 cited

Reuniting -boundedness with polynomial -boundedness

Maria Chudnovsky, Linda Cook, James Davies +1

A class of graphs is -bounded if there is a function such that for all induced subgraphs of a graph in . If can be chose…

math.CO2023

Clustered Colouring of Odd--Minor-Free Graphs

Robert Hickingbotham, Dong Yeap Kang, Sang-il Oum +2

The clustered chromatic number of a graph class is the minimum integer such that every graph has a -colouring where each monochromatic compon…

math.CO2023

Note on Hamiltonicity of basis graphs of even delta-matroids

Donggyu Kim, Sang-il Oum

We show that the basis graph of an even delta-matroid is Hamiltonian if it has more than two vertices. More strongly, we prove that for two distinct edges and sharing a com…

cs.DS2023

Space-Efficient Parameterized Algorithms on Graphs of Low Shrubdepth

Benjamin Bergougnoux, Vera Chekan, Robert Ganian +5

Dynamic programming on various graph decompositions is one of the most fundamental techniques used in parameterized complexity. Unfortunately, even if we consider concepts as simpl…

math.CO2023★ 4 cited

Twin-width of subdivisions of multigraphs

Jungho Ahn, Debsoumya Chakraborti, Kevin Hendrey +1

For each , we construct a finite set of multigraphs such that for each graph of girth at least obtained from a multigraph by subdividing each edge at leas…