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math.CO2023
Independent domination versus packing in subcubic graphs
Eun-Kyung Cho, Minki Kim
In 2011, Henning, Löwenstein, and Rautenbach observed that the domination number of a graph is bounded from above by the product of the packing number and the maximum degree of the…
math.CO2023
Extensions of the Colorful Helly Theorem for -collapsible and -Leray complexes
Minki Kim, Alan Lew
We present extensions of the Colorful Helly Theorem for -collapsible and -Leray complexes, providing a common generalization to the matroidal versions of the theorem due to K…
math.CO2023
Strong Erdős-Hajnal properties in chordal graphs
Minho Cho, Andreas F. Holmsen, Jinha Kim +1
A graph class has the strong Erdős-Hajnal property (SEH-property) if there is a constant such that for every member of , eithe…