Publications
Submitted Manuscripts
Taehyun Eom, Minki Kim and Eon Lee:
"Fractoinal discrete Helly for pairs in a family of boxes"
Debsoumya Chakraborti, Minho Cho, Jinha Kim and Minki Kim:
"Colorful fractional Helly theorem via weak saturation"
Jaweoo Jung, Jinha Kim, Minki Kim, and Yeongrak Kim:
"Bounds on the Leray number of simplicial complexes via facet order"
Published and Accepted Papers (since 2022)
2024
[22] Eun-Kyung Cho and Minki Kim:
Independent domination versus packing in subcubic graphs
Discrete Applied Mathematics, 357:132-134, 2024.
(arXiv:2307.05119)
[21] Minho Cho, Andreas Holmsen, Jinha Kim and Minki Kim:
Strong Erdos-Hajnal properties in chordal graphs
Electronic Journal of Combinatorics, 31(2): #P2.37, 2024.
(arXiv:2302.02417)
[20] Minki Kim and Alan Lew:
Extensions of the Colorful Helly Theorem for d-collapsible and d-Leray complexes
Forum of Mathematics, Sigma, 12:e44 1-14, 2024.
2023
[19] Debsoumya Chakraborti, Jaehoon Kim, Jinha Kim, Minki Kim and Hong Liu
Fractional Helly theorem for Cartesian products of convex sets
Discrete & Computational Geometry, 70(4):1632-1651, 2023.
(arXiv:2108.09962)
[18] Ron Aharoni, Joseph Briggs, Jinha Kim and Minki Kim:
Rainbow independent sets in certain classes of graphs
Journal of Graph Theory, 104(3):447-677, 2023.
(arXiv:1909.13143)
[17] Minki Kim and Alan Lew:
Leray numbers of tolerance complexes
Combinatorica, 43:985-1006, 2023.
(arXiv:2109.03030)
[16] Eun-Kyung Cho, Jinha Kim, Minki Kim and Sang-il Oum:
Independent domination of graphs with bounded maximum degree
Journal of Combinatorial Theory Series B, 158:341-352, 2023.
(arXiv:2202.09594)
2022
[15] Debsoumya Chakraborti, Jaehoon Kim, Jinha Kim, Minki Kim and Hong Liu
Well-mixing vertices and almost expanders
Proceedings of the American Mathematical Society, 150(12):5097-5110, 2022.
(arXiv:2108.12864)
[14] Minki Kim and Alan Lew:
Complexes of graphs with bounded independence number
Israel Journal of Mathematics, 249:83-120, 2022.
[13] Jinha Kim, Minki Kim and O-Joung Kwon:
Rainbow independent sets on dense graph classes
Discrete Applied Mathematics, 312:45-51, 2022.
Published Papers (before 2022)
2021
[12] Jinha Kim, Minki Kim and O-Joung Kwon:
A system of disjoint representatives of line segments with given $k$ directions
Discrete Mathematics, 344(12):112621, 2021.
[11] Ron Aharoni, Joseph Briggs, Jinha Kim and Minki Kim:
Discrete Mathematics, 344(6):112363, 2021.
[10] Jinha Kim and Minki Kim:
Domination numbers and noncover complexes of hypergraphs
Journal of Combinatorial Theory Series A, 180:105408, 2021.
2020
[9] Ilkyoo Choi, Weonyoung Joo, and Minki Kim:
The layer number of $\alpha$-evenly distributed point sets
Discrete Mathematics, 343(10):112029, 2020.
2019
[8] Joseph Briggs and Minki Kim:
Choice functions in the intersection of matroids
Electronic Journal of Combinatorics, 26: Paper 4.26, 2019.
[7] Gi-sang Cheon, Jinha Kim, Minki Kim and Sergey Kitaev:
Word-representability of Toeplitz graphs
Discrete Applied Mathematics, 270:96-105, 2019.
[6] Gi-Sang Cheon, Jinha Kim, Minki Kim, Sergey Kitaev and Artem Pyatkin:
Journal of Combinatorics, 10(3):491-513, 2019.
[5] Ilkyoo Choi, Jinha Kim and Minki Kim:
On operations preserving the semi-transitive property of graphs
Journal of Combinatorial Optimization, 37(4):1351-1366, 2019.
[4] Andreas Holmsen, Minki Kim, and Seunghun Lee:
Nerves, minors, and piercing numbers
Transactions of the American Mathematical Society, 371(12):8755-8779, 2019.
2018
[3] Minki Kim, Bernard Lidicky, Tomas Masarik and Florian Pfender:
Notes on complexity of packing coloring
Information Processing Letters, 137: 6-10, 2018.
[2] Ilkyoo Choi, Junehyuk Jung and Minki Kim:
On tiling the integers with 4-sets of the same gap sequence
Discrete Mathematics, 341(4): 957-964, 2018.
2017
[1] Minki Kim:
A note on the colorful fractional Helly theorem
Discrete Mathematics, 340(1): 3167-3170, 2017.
Dissertation and Thesis
Ph.D Dissertation: On fractional Helly properties in graphs without large complete minors (2018)
Master's Thesis: Intersection patterns of subtree families and colorful fractional Helly theorems (2014)
Collaborators
**Ron Aharoni, Joseph Briggs, Debsoumya Chakraborti, Gi-Sang Cheon, Eun-Kyung Cho, Minho Cho, Ilkyoo Choi, Taehyun Eom, *Andreas Holmsen, Weonyoung Joo, Junehyuk Jung, Jaehoon Kim, Jinha Kim, Sergey Kitaev, O-Joung Kwon, Eon Lee, Seunghun Lee, Alan Lew, Bernard Lidicky, Hong Liu, Tomas Masarik, Florian Pfender, Artem Pyatkin, **Sang-il Oum
* PhD advisor
** Postdoc Host