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math.CO2024
Dirac's theorem for graphs of bounded bandwidth
Alberto Espuny Díaz, Pranshu Gupta, Domenico Mergoni Cecchelli +2
We provide an optimal sufficient condition, relating minimum degree and bandwidth, for a graph to contain a spanning subdivision of the complete bipartite graph . This…
math.CO2024
Spanning spheres in Dirac hypergraphs
Freddie Illingworth, Richard Lang, Alp Müyesser +2
We show that a -uniform hypergraph on vertices has a spanning subgraph homeomorphic to the -dimensional sphere provided that has no isolated vertices and each s…