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20132023
most citedExcluded vertex-minors for graphs of linear rank-width at most k

19 citations · 50 across the 10 of their papers we have counts for

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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.CO2020

Tree pivot-minors and linear rank-width

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

Tree-width and its linear variant path-width play a central role for the graph minor relation. In particular, Robertson and Seymour (1983) proved that for every tree~, the class…

math.CO2019

Online Ramsey theory for a triangle on -free graphs

Hojin Choi, Ilkyoo Choi, Jisu Jeong +1

Given a class of graphs and a fixed graph , the online Ramsey game for on is a game between two players Builder and Painter as follows: an unbound…

math.CO2016★ 1 cited

Characterizing graphs of maximum matching width at most 2

Jisu Jeong, Seongmin Ok, Geewon Suh

The maximum matching width is a width-parameter that is defined on a branch-decomposition over the vertex set of a graph. The size of a maximum matching in the bipartite graph is u…

math.CO2014★ 2 cited

-coloring of graphs with girth at least on a surface

Hojin Choi, Ilkyoo Choi, Jisu Jeong +1

A graph is -colorable if its vertex set can be partitioned into sets so that the maximum degree of the graph induced by is at most …

math.CO2013★ 19 cited

Excluded vertex-minors for graphs of linear rank-width at most k

Jisu Jeong, O-joung Kwon, Sang-il Oum

Linear rank-width is a graph width parameter, which is a variation of rank-width by restricting its tree to a caterpillar. As a corollary of known theorems, for each , there is…