Depth Crossings and Conflicts in Discrete Geometry is popular PDF and ePub book, written by Marek Sulovsk 'y in 2012, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Depth Crossings and Conflicts in Discrete Geometry can be Read Online from any device for your convenience.

Depth Crossings and Conflicts in Discrete Geometry Book PDF Summary

Discrete geometry has been among the fastest growing fields of mathematics in the last decades. One of the most fascinating objects studied in discrete geometry are k-sets. Not only are they extremely difficult to understand but they also play an important role in estimating the running time of several geometric algorithms. 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.

Detail Book of Depth Crossings and Conflicts in Discrete Geometry PDF

Depth  Crossings and Conflicts in Discrete Geometry
  • Author : Marek Sulovsk 'y
  • Release : 21 September 2024
  • Publisher : Logos Verlag Berlin GmbH
  • ISBN : 9783832531195
  • Genre : Mathematics
  • Total Page : 180 pages
  • Language : English
  • PDF File Size : 20,6 Mb

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