Buch, Englisch, 190 Seiten, PB, Format (B × H): 145 mm x 210 mm
Buch, Englisch, 190 Seiten, PB, Format (B × H): 145 mm x 210 mm
ISBN: 978-3-8325-3119-5
Verlag: Logos Berlin
This thesis presents developments in three areas related to (k )-sets.
First, it examines the circle containment problem of Urrutia and Neumann-Lara and reveals its relationships to geometric partitioning problems and centre regions. Next, it investigates (k )-sets in low dimensions and generalises the (k )-edge crossing identity of Andrzejak et al. to the sphere. Last, it studies conflict-free colourings of geometric hypergraphs and extends many results on this topic to more restrictive list colouring variants.