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Publication Date2023-06
A chain theorem for sequentially 3-rank-connected graphs with respect to vertex-minors
Duksang Lee; Sang-il Oum
European Journal of Combinatorics, v.113
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Publication Date2023-05
Obstructions for matroids of path-width at most k and graphs of linear rank-width at most k
Kanté, M.M.; Kim, E.J.; O-joung Kwon, et al
Journal of Combinatorial Theory. Series B, v.160, pp.15 - 35
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Publication Date2023-03
INTERTWINING CONNECTIVITIES FOR VERTEX-MINORS AND PIVOT-MINORS
Duksang Lee; Sangil Oum
SIAM Journal on Discrete Mathematics, v.37, no.1, pp.304 - 314
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Publication Date2023-02
Rank connectivity and pivot-minors of graphs
Sang-il Oum
European Journal of Combinatorics, v.108
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Publication Date2023-01
Independent domination of graphs with bounded maximum degree
Eun-Kyung Cho; Jinha Kim; Kim, Minki, et al
Journal of Combinatorial Theory. Series B, v.158, no.2, pp.341 - 352
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Publication Date2022-09
BOUNDS FOR THE TWIN-WIDTH OF GRAPHS
JUNGHO AHN; KEVIN HENDREY; DONGGYU KIM, et al
SIAM Journal on Discrete Mathematics, v.36, no.3, pp.2352 - 2366
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Publication Date2022-05
Obstructions for partitioning into forests and outerplanar graphs
Ringi Kim; Sergey Norin; Sang-il Oum
DISCRETE APPLIED MATHEMATICS, v.312, pp.15 - 28
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Publication Date2022-03
Characterizing matroids whose bases form graphic delta-matroids
Duksang Lee; Sang-il Oum
European Journal of Combinatorics, v.101
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Publication Date2022-02
3-Degenerate induced subgraph of a planar graph
Gu, Yangyan; Kierstead, H.A.; Sang-il Oum, et al
Journal of Graph Theory, v.99, no.2, pp.251 - 277
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Publication Date2021-10
FINDING BRANCH-DECOMPOSITIONS OF MATROIDS, HYPERGRAPHS, AND MORE
Jeong, Jisu; Kim, Eun Jung; Sang-il Oum
SIAM JOURNAL ON DISCRETE MATHEMATICS, v.35, no.4, pp.2544 - 2617
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Publication Date2021-08
TREE PIVOT-MINORS AND LINEAR RANK-WIDTH
Dabrowski, Konrad K.; Dross, Francois; Jeong, Jisu, et al
SIAM JOURNAL ON DISCRETE MATHEMATICS, v.35, no.4, pp.2922 - 2945
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Publication Date2021-07
Obstructions for bounded shrub-depth and rank-depth
O-joung Kwon; Rose McCarty; Sang-il Oum, et al
Journal of Combinatorial Theory. Series B, v.149, pp.76 - 91
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Publication Date2021-06
Equitable partition of planar graphs
Kim, Ringi; Sang-il Oum; Zhang, Xin
DISCRETE MATHEMATICS, v.344, no.6
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Publication Date2021-05
Obstructions for bounded branch-depth in matroids
J. Pascal Gollin; Kevin Hendrey; Mayhew, Dillon, et al
Advances in Combinatorics, v.2021, no.1, pp.1 - 25
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Publication Date2021-01-22
Tangle-tree duality in abstract separation systems
Diestel, R.; Sang-il Oum
ADVANCES IN MATHEMATICS, v.377
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Publication Date2020-12
The average cut-rank of graphs
Huy-Tung Nguyen; Sang-il Oum
EUROPEAN JOURNAL OF COMBINATORICS, v.90, pp.103183
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Publication Date2020-12
Branch-depth: Generalizing tree-depth of graphs
Matt DeVos; O-joung Kwon; Sang-il Oum
EUROPEAN JOURNAL OF COMBINATORICS, v.90, pp.103186
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Publication Date2020-03
Scattered Classes of Graphs
O-joung Kwon; Sang-il Oum
SIAM Journal on Discrete Mathematics, v.34, no.1, pp.972 - 999
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Publication Date2020-01
Classes of graphs with no long cycle as a vertex-minor are polynomially χ-bounded
Ringi Kim; O-joung Kwon; Sang-il Oum, et al
Journal of Combinatorial Theory. Series B, v.140, pp.372 - 386
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Publication Date2019-10
Online Ramsey theory for a triangle on F‐free graphs
Hojin Choi; Ilkyoo Choi; Jisu Jeong, et al
JOURNAL OF GRAPH THEORY, v.92, no.2, pp.152 - 171