Huy-Tung Nguyen, The average cut-rank of graphs
Room B232 IBS (기초과학연구원)The cut-rank of a set X of vertices in a graph G is defined as the rank of the X×(V(G)∖X) matrix over the binary field whose (i,j)-entry is 1 if …
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Jiseung Kim (김지승), Hardness and concrete security in cryptography
Room B232 IBS (기초과학연구원)Computationally hard problems have been widely used to construct cryptographic primitives such as encryptions, digital signatures. For example, provably secure primitives are based on a reduction from the hardness problems. …
Andreas Holmsen, Fractional Helly and topological complexity
Room B232 IBS (기초과학연구원)The fractional Helly theorem is a simple yet remarkable generalization of Helly's classical theorem on the intersection of convex sets, and it is of considerable interest to extend the fractional Helly …
Seog-Jin Kim (김석진), Online DP-coloring of graphs
Room B232 IBS (기초과학연구원)Online list coloring and DP-coloring are generalizations of list coloring that attracted considerable attention recently. Each of the paint number, $\chi_P(G)$, (the minimum number of colors needed for an online …
Ilkyoo Choi (최일규), Flexibility of Planar Graphs
Room B232 IBS (기초과학연구원)Oftentimes in chromatic graph theory, precoloring techniques are utilized in order to obtain the desired coloring result. For example, Thomassen's proof for 5-choosability of planar graphs actually shows that two adjacent …