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math.CO2024
Vertex orders in higher dimensions
Bennet Goeckner, Marta Pavelka
Unit interval and interval complexes are higher-dimensional generalizations of unit interval and interval graphs, respectively. We show that strongly connected unit interval comple…
math.CO2024
A conditional lower bound for the Turán number of spheres
Andrew Newman, Marta Pavelka
We consider the hypergraph Turán problem of determining , the maximum number of facets in a -dimensional simplicial complex on vertices that does not co…