Denys Bulavka, Strict Erdős-Ko-Rado Theorems for Simplicial Complexes

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The now classical theorem of Erdős, Ko and Rado establishes the size of a maximal uniform family of pairwise-intersecting sets as well as a characterization of the families attaining such upper bound. One natural extension of this theorem is that of restricting the possiblechoices for the sets. That is, given a simplicial complex, what is

On-Hei Solomon Lo, Minors of non-hamiltonian graphs

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A seminal result of Tutte asserts that every 4-connected planar graph is hamiltonian. By Wagner's theorem, Tutte's result can be restated as: every 4-connected graph with no K3,3 minor is hamiltonian. In 2018, Ding and Marshall posed the problem of characterizing the minor-minimal 3-connected non-hamiltonian graphs. They conjectured that every 3-connected non-hamiltonian graph contains a

Attila Jung, The Quantitative Fractional Helly Theorem

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Two celebrated extensions of Helly's theorem are the Fractional Helly theorem of Katchalski and Liu (1979) and the Quantitative Volume theorem of Barany, Katchalski, and Pach (1982). Improving on several recent works, we prove an optimal combination of these two results. We show that given a family F of n convex sets in Rd such

Sergey Norin, TBA

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IBS 이산수학그룹 Discrete Mathematics Group
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