10 events found.
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IBS-DIMAG Winter School on Graph Minors, Week 3
Room B109 IBS (기초과학연구원) -
O-joung Kwon (권오정), Erdős-Pósa property of A-paths in unoriented group-labelled graphs
Room B332 IBS (기초과학연구원)A family $\mathcal{F}$ of graphs is said to satisfy the Erdős-Pósa property if there exists a function $f$ such that for every positive integer $k$, every graph $G$ contains either …
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Sepehr Hajebi, The pathwidth theorem for induced subgraphs
Room B332 IBS (기초과학연구원)We present a full characterization of the unavoidable induced subgraphs of graphs with large pathwidth. This consists of two results. The first result says that for every forest H, every …
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Irene Muzi, An elementary bound for Younger’s conjecture
Room B332 IBS (기초과학연구원)In 1996, Reed, Robertson, Seymour and Thomas proved Younger's Conjecture, which states that for all directed graphs D, there exists a function f such that if D does not contain …
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Johannes Carmesin, Open problems in graph theory
Room B332 IBS (기초과학연구원)Since the proof of the graph minor structure theorem by Robertson and Seymour in 2004, its underlying ideas have found applications in a much broader range of settings than their …
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Michał Seweryn, Dimension and standard examples in planar posets
Room B332 IBS (기초과학연구원)The dimension of a poset is the least integer $d$ such that the poset is isomorphic to a subposet of the product of $d$ linear orders. In 1983, Kelly constructed …
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Hyunwoo Lee (이현우), Reconstructing hypergraph matching polynomials
Room B332 IBS (기초과학연구원)By utilizing the recently developed hypergraph analogue of Godsil's identity by the second author, we prove that for all $n \geq k \geq 2$, one can reconstruct the matching polynomial …
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Marcelo Garlet Milani, Cycles of Well-Linked Sets and an Elementary Bound for the Directed Grid Theorem
Room B332 IBS (기초과학연구원)In 2015, Kawarabayashi and Kreutzer proved the directed grid theorem. The theorem states the existence of a function f such that every digraph of directed tree-width f(k) contains a cylindrical …
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Daniel McGinnis, A necessary and sufficient condition for $k$-transversals
Room B332 IBS (기초과학연구원)We solve a long-standing open problem posed by Goodman and Pollack in 1988 by establishing a necessary and sufficient condition for a finite family of convex sets in $\mathbb{R}^d$ to …