Dennis Wong presented a talk on algorithms to generate Gray codes and universal cycles for weak orders at the Discrete Math Seminar

On June 30, 2020, Dennis Wong from SUNY Korea gave a talk on algorithms to generate Gray codes and universal cycles for weak orders at the Discrete Math Seminar. At the end of the talk, his student, Fabio Calero from SUNY Korea, gave a sketch about another work on Gray codes for ballot sequences. The title of his talk is “Generating Gray codes and universal cycles for weak orders“.

Fabio Calero

Jaehoon Kim (김재훈) gave a talk on a resilience version of Pósa’s theorem regarding Hamiltonian cycles at the Discrete Math Seminar

On June 23, 2020, Jaehoon Kim (김재훈) from KAIST presented his work with Padraig Condon, Alberto Espuny Diaz, Daniela Kühn and Deryk Osthus on a resilience version of Pósa’s theorem regarding a sufficient condition on the degree sequence for a graph to have a Hamiltonian cycle at the Discrete Math Seminar. The title of his talk is “A resilience version of Pósa’s theorem“.

O-joung Kwon (권오정) gave a survey talk on the MIM-width of graphs at the Discrete Math Seminar

On May 19, 2020, O-joung Kwon (권오정) from Incheon National University and IBS Discrete Mathematics Group presented a survey talk on the MIM-width of graphs. The title of his talk was “Mim-width: a width parameter beyond rank-width“.

Note added on June 2020
After I presented the talk, Benjamin Bergougnoux commented me that the claim of (Boyaci, Ekim, Shalom 17) at 1:02:40 was recently disproved by Kratochvíl, Masařík, and Novotná (https://arxiv.org/abs/2002.08311). I would like to thank Benjamin for the comment. Whether or not there is a polynomial-time algorithm for Max Cut on proper interval graphs is still open.
O-joung Kwon

Seunghun Lee (이승훈) gave a talk on the complexes of subgraphs having no large matching at the Discrete Math Seminar

On April 28, 2020, Seunghun Lee (이승훈) from KAIST presented a talk on the topological property of the non-matching complex, that is a simplicial complex consisting of subgraphs on the same vertex set having no matching of size k and its application to the rainbow matching problem of graphs. The title of his talk is “Leray numbers of complexes of graphs with bounded matching number“.