2 papers
math.CO2026
Minimum degree conditions for removable matchings in -connected graphs
Hojin Chu, Ringi Kim, Boram Park
In 1969, Halin proved that every -connected graph with minimum degree at least contains an edge such that is -connected. As an edge is a matching of size…
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…