activity
20222026
most citedProper conflict-free coloring of sparse graphs

5 citations · 6 across the 5 of their papers we have counts for

collaborators

7 papers

math.CO2026

Det-extremal cubic graphs and the total domatic number

Myungho Choi, Hyemin Kwon, Boram Park

A graph is det-extremal if for its adjacency matrix . Det-extremal cubic bipartite graphs arise in the study of Pólya's permane…

math.CO2026

Towards a strengthening of the second neighborhood conjecture

Yandong Bai, Binlong Li, Boram Park

A longstanding conjecture of Seymour, called Seymour's second neighborhood conjecture, states that every oriented graph contains a vertex with $|N^{++}_D(x)|\geq |N^{+}_D(x…

math.CO2026

On 2-connected graphs without cycles of length 1 modulo 3

Yandong Bai, Hojin Chu, Binlong Li +2

Burr and Erdős conjectured in 1976 that for all integers such that contains an even integer, every -vertex graph without cycles of length $\ell…

math.CO2026

Existence of cycles of length divisible by 3 or 4

Ilkyoo Choi, Hojin Chu, Ringi Kim +1

Dean conjectured that for each integer , every graph with minimum degree at least has a cycle whose length is divisible by ; this conjecture is known to be true for…

math.CO2024

Strong odd coloring of sparse graphs

Hyemin Kwon, Boram Park

An odd coloring of a graph is a proper coloring of such that for every non-isolated vertex , there is a color appearing an odd number of times in . Odd coloring…

math.CO2022★ 5 cited

Proper conflict-free coloring of sparse graphs

Eun-Kyung Cho, Ilkyoo Choi, Hyemin Kwon +1

A {\it proper conflict-free -coloring} of a graph is a proper -coloring such that each non-isolated vertex has a color appearing exactly once on its neighborhood. This notion…

math.CO2022★ 1 cited

Odd coloring of sparse graphs and planar graphs

Eun-Kyung Cho, Ilkyoo Choi, Hyemin Kwon +1

An {\it odd -coloring} of a graph is a proper -coloring such that each non-isolated vertex has a color appearing an odd number of times on its neighborhood. This concept was…