Daily Papers

For a graph F, an r-uniform hypergraph H is a Berge-F if there is a bijection ϕ:E(F)rightarrow E(H) such that esubseteq ϕ(e) for each ein E(F). Given a family F of r-uniform hypergraphs, an r-uniform hypergraph is F-free if it does not contain any member in F as a subhypergraph. The Turán number of F is the maximum number of hyperedges in an F-free r-uniform hypergraph on n vertices. In this paper, some exact and general results on the Turán numbers for several types of Berge forests are obtained.

Berry picking has long-standing traditions in Finland, yet it is challenging and can potentially be dangerous. The integration of drones equipped with advanced imaging techniques represents a transformative leap forward, optimising harvests and promising sustainable practices. We propose WildBe, the first image dataset of wild berries captured in peatlands and under the canopy of Finnish forests using drones. Unlike previous and related datasets, WildBe includes new varieties of berries, such as bilberries, cloudberries, lingonberries, and crowberries, captured under severe light variations and in cluttered environments. WildBe features 3,516 images, including a total of 18,468 annotated bounding boxes. We carry out a comprehensive analysis of WildBe using six popular object detectors, assessing their effectiveness in berry detection across different forest regions and camera types. We will release WildBe publicly.