Papers

Preprints

My papers on arXiv

Journal Papers

2026

  1. Reuniting χ-boundedness with polynomial χ-boundedness (with Maria Chudnovsky, Linda Cook, and James Davies), J. Combin. Theory Ser. B, 176:30-73, January 2026.

2025

  1. Linear bounds on treewidth in terms of excluded planar minors (with J. Pascal Gollin, Kevin Hendrey, and Bruce Reed), Electron. J. Combin., 32(4):P4.68, December 2025.
  2. Note on Hamiltonicity of basis graphs of even delta-matroids (with Donggyu Kim김동규), J. Graph Theory, 109(4):446-453, August 2025.
  3. Clustered colouring of odd-H-minor-free graphs (with Robert Hickingbotham, Dong Yeap Kang강동엽, Raphael Steiner, and David R. Wood), In: D. R. Wood, A. M. Etheridge, J. de Gier, N. Joshi (eds), 2023 MATRIX Annals. MATRIX Book Series, vol 6., pp. 73-80, Springer, July 2025.

2024

  1. Twin-width of random graphs (with Jungho Ahn안정호, Debsoumya Chakraborti, Kevin Hendrey, and Donggyu Kim김동규), Random Structures Algorithms, 65(4):794-831, December 2024.
  2. Vertex-minors of graphs: A survey (with Donggyu Kim김동규), Discrete Appl. Math., 351:54-73, July 2024.
  3. Prime vertex-minors of a prime graph (with Donggyu Kim김동규), European J. Combin., 118:103871, May 2024.

2023

  1. A chain theorem for sequentially 3-rank-connected graphs with respect to vertex-minors (with Duksang Lee이덕상), European J. Combin., 113:103761, October 2023.
  2. A polynomial kernel for 3-leaf power deletion (with Jungho Ahn안정호, Eduard Eiben, and O-joung Kwon권오정), Algorithmica, 85(10):3058-3087, October 2023. (An extended abstract appeared in MFCS 2020.).
  3. Γ-graphic delta-matroids and their applications (with Donggyu Kim김동규 and Duksang Lee이덕상), Combinatorica, 43(5):963-983, October 2023.
  4. Rank connectivity and pivot-minors of graphs, European J. Combin., 108:103634, February 2023.
  5. Intertwining connectivities for vertex-minors and pivot-minors (with Duksang Lee이덕상), SIAM J. Discrete Math., 37(1):304-314, 2023.

2022

  1. Obstructions for partitioning into forests and outerplanar graphs (with Ringi Kim김린기 and Sergey Norin), Discrete Appl. Math., 312:15-28, May 2022. [open access].
  2. Characterizing matroids whose bases form graphic delta-matroids (with Duksang Lee이덕상), European J. Combin., 101:103476, March 2022.
  3. 3-degenerate induced subgraphs of a planar graph (with H. A. Kierstead, Xuding Zhu, Yangyan Gu, and Hao Qi), J. Graph Theory, 99(2):251-277, February 2022.
  4. Bounds for the twin-width of graphs (with Jungho Ahn안정호, Kevin Hendrey, and Donggyu Kim김동규), SIAM J. Discrete Math., 36(3):2352-2366, 2022.

2021

  1. Finding branch-decompositions of matroids, hypergraphs, and more (with Jisu Jeong정지수 and Eun Jung Kim김은정), SIAM J. Discrete Math., 35(4):2544-2617, November 2021. (An extended abstract appeared in ICALP 2018.).
  2. Obstructions for bounded shrub-depth and rank-depth (with O-joung Kwon권오정, Rose McCarty, and Paul Wollan), J. Combin. Theory Ser. B, 149, 76-91, July 2021.
  3. Equitable partition of planar graphs (with Ringi Kim김린기 and Xin Zhang), Discrete Math., 344(6):112351, June 2021.
  4. Obstructions for bounded branch-depth in matroids (with J. Pascal Gollin, Kevin Hendrey, and Dillon Mayhew), Adv. Comb., 2021:4, 25pp, May 2021. [open access].
  5. Graphs of bounded depth-2 rank-brittleness (with O-joung Kwon권오정), J. Graph Theory, 96, 361-378, March 2021.
  6. Tangle-tree duality in abstract separation systems (with Reinhard Diestel), Adv. Math., 377, 107470, January 2021. (This is an updated version of the first half of a manuscript “Unifying duality theorems for width parameters in graphs and matroids. I. Weak and strong duality“.).

2020

  1. Branch-depth: Generalizing tree-depth of graphs (with Matt DeVos and O-joung Kwon권오정), European J. Combin., 90, 103186, December 2020. [open access].
  2. The average cut-rank of graphs (with Tung H. Nguyen), European J. Combin., 90, 103183, December 2020. [open access].
  3. Scattered classes of graphs (with O-joung Kwon권오정), SIAM J. Discrete Math., 34, no. 1, pp. 972-999, March 2020.

2019

  1. Improper colouring of graphs with no odd clique minor (with Dong Yeap Kang강동엽), Combin. Probab. Comput., 28, no. 5, pp. 740-754, September 2019.
  2. Tangle-tree duality: in graphs, matroids and beyond (with Reinhard Diestel), Combinatorica, 39, no. 4, pp. 879-910, August 2019. (This is an updated version of the second half of a manuscript “Unifying duality theorems for width parameters in graphs and matroids. I. Weak and strong duality“.).

2018

  1. A remark on the paper “Properties of intersecting families of ordered sets” by O. Einstein (with Sounggun Wee위성군), Combinatorica, 38, no 5., pp. 1279-1284, October 2018.
  2. Partitioning H-minor free graphs into three subgraphs with no large components (with Chun-Hung Liu), J. Combin. Theory Ser. B, 128, pp. 114-133, January 2018.
  3. Characterization of cycle obstruction sets for improper coloring planar graphs (with Ilkyoo Choi최일규 and Chun-Hung Liu), SIAM J. Discrete Math., **32(**2018), no. 2, pp. 1209-1228, 2018.
  4. Vertex-minors and the Erdős-Hajnal conjecture (with Maria Chudnovsky), Discrete Math., 341, pp. 3498-3499, 2018.

2017

  1. Rank-width: algorithmic and structural results, Discrete Applied Math., 231, pp. 15-24, November 2017.
  2. The “art of trellis decoding” is fixed-parameter tractable (with Jisu Jeong정지수 and Eun Jung Kim김은정), IEEE Trans. Inform. Theory, 63, no. 11, pp. 7178-7205. (Previous title: constructive algorithm for path-width of matroids), November 2017.
  3. Even-cycle decompositions of graphs with no odd-K4-minor (with Tony Huynh and Maryam Verdian-Rizi), European J. Combin., 65, pp. 1-14, October 2017.
  4. Majority colouring of digraphs (with Stephan Kreutzer, Paul Seymour, David R. Wood, and Dominic van der Zypen), Electron. J. Combin., 24, #P2.25, May 2017.
  5. Classification of real Bott manifolds and acyclic digraphs (with Suyoung Choi최수영 and Mikiya Masuda), Trans. Amer. Math. Soc., 369, no. 4, pp. 2987-3011, April 2017.
  6. Strongly even-cycle decomposable graphs (with Tony Huynh, Andrew D. King, and Maryam Verdian-Rizi), J. Graph Theory, 84, no. 2, pp. 158-175, February 2017.

2016

  1. Dynamic coloring of graphs having no K5 minor (with Younjin Kim김연진 and Sang June Lee이상준), Discrete Applied Math., 206, pp. 81-89, June 2016.

2015

  1. Number of cliques in graphs with a forbidden subdivision (with Choongbum Lee이중범), SIAM J. Discrete Math., 29, no. 4, pp. 1999-2005, October 2015.
  2. A relative of Hadwiger’s conjecture (with Katherine Edwards, Dong Yeap Kang강동엽, Jaehoon Kim김재훈, and Paul Seymour), SIAM J. Discrete Math., 29, no. 4, pp. 2385–2388, 2015.

2014

  1. Hyperbolic surface subgroups of one-ended doubles of free groups (with Sang-hyun Kim김상현), J. Topology, 7, no. 4, pp. 927-947, December 2014.
  2. Unavoidable vertex-minors in large prime graphs (with O-joung Kwon권오정), European J. Combin., 41, pp. 100-127, October 2014.

2012

  1. Rank-width of Random Graphs (with Choongbum Lee이중범 and Joonkyung Lee이준경), J. Graph Theory, 70, no. 3, pp. 339-347, July 2012.
  2. Finding minimum clique capacity (with Maria Chudnovsky and Paul Seymour), Combinatorica, 32, no. 3, pp. 283-287, April 2012.
  3. Rank-width and Well-quasi-ordering of skew-symmetric or symmetric matrices, Linear Algebra Appl., 436(April 1, 2012), no. 7, pp. 2008-2036, April 2012.

2011

  1. Perfect Matchings in Claw-free Cubic Graphs, Electron. J. Combin., 18, #P62 (pp. 6), 2011.

2010

  1. Rank-width and tree-width of H-minor-free graphs (with Fedor V. Fomin and Dimitrios M. Thilikos), European J. Combin., 31, no. 7, pp. 1617-1628, 2010.

2009

  1. Circle Graph Obstructions under Pivoting (with Jim Geelen), J. Graph Theory, 61, no. 1, pp. 1-11, 2009.
  2. Computing rank-width exactly, Information Proc. Letters, 109, no. 13, pp. 745-748, 2009.
  3. Excluding a Bipartite Circle Graph from Line Graphs, J. Graph Theory, 60, no. 3, pp. 183-203, 2009.

2008

  1. Approximating rank-width and clique-width quickly, ACM Trans. Algorithms, 5. no. 1, Art. No. 10, 2008.
  2. Finding Branch-decompositions and Rank-decompositions (with Petr Hliněný), SIAM J. Comput., 38, no. 3, pp. 1012-1032, 2008.
  3. Rank-width and Well-quasi-ordering, SIAM J. Discrete Math., 22, no. 2, pp. 666-682, 2008.
  4. Rank-width is less than or equal to branch-width, J. Graph Theory, 57, no. 3, pp. 239-244, 2008.
  5. Width Parameters Beyond Tree-width and Their Applications (with Petr Hliněný, Detlef Seese, and Georg Gottlob), The Computer Journal, 51, no. 3, pp. 326-362, 2008.

2007

  1. Testing Branch-width (with Paul Seymour), J. Combin. Theory Ser. B, 97, no. 3, pp. 385-393., 2007. Corrigendum to our paper “Testing branch-width”.
  2. Vertex-Minors, Monadic Second-Order Logic, and a Conjecture by Seese (with Bruno Courcelle), J. Combin. Theory Ser. B, 97, no. 1, pp. 91-126, 2007.

2006

2005

Ph.D. Thesis

Conference Papers

2023

  1. Space-efficient parameterized algorithms on graphs of low shrubdepth (with Vera Chekan, Robert Ganian, Mamadou Moustapha Kanté, Michał Pilipczuk, Erik Jan van Leeuwen, Benjamin Bergougnoux, and Matthias Mnich), In the Proceedings of the 31st Annual European Symposium on Algorithms (ESA 2023, Amsterdam, Netherlands, September 4-6, 2023), Article No. 18; pp. 18:1-18:8, September 2023.

2022

2021

2020

2018

  1. Finding branch-decompositions of matroids, hypergraphs, and more (with Jisu Jeong정지수 and Eun Jung Kim김은정), In the Proceedings of the 45th International Colloquium on Automata, Languages, and Programming (ICALP2018), Prague, Czech Republic, July 9-13, 2018, Leibniz International Proceedings in Informatics (LIPIcs), Vol. 107, pp. 80:1-80:14, July 2018.

2016

2013

2012

2007

  1. Finding Branch-decompositions and Rank-decompositions (with Petr Hliněný), In the Proceedings of the 15th Annual European Symposium on Algorithms (ESA 2007, Eilat, Israel, October 8-10, 2007), Lecture Notes in Comput. Sci., vol 4698, pp. 163-174, October 2007.

2006

2005

Other

  1. Branch-width and Tangles (with Illya V. Hicks), Wiley Encyclopedia of Operations Research and Management Sciences, 2011.

Manuscripts

  1. An upper bound on tricolored ordered sum-free sets (with Taegyun Kim김태균), 2017.

AMS MathSciNet Author ID: 765385
Scopus Author ID: 55912957400
ResearchID: C-1692-2011
Google Scholar