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What and Who
Title:LCL problems on grids
Speaker:Janne H. Korhonen
coming from:Max-Planck-Institut für Informatik - D1
Speakers Bio:
Event Type:AG1 Mittagsseminar (own work)
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Level:AG Audience
Date, Time and Location
Date:Tuesday, 10 October 2017
Duration:30 Minutes
Building:E1 4
LCLs or locally checkable labelling problems (e.g. maximal independent set, maximal matching, and vertex colouring) in the LOCAL model of computation are very well-understood in cycles (toroidal 1-dimensional grids): every problem has a complexity of O(1), Θ(log*n), or Θ(n), and the design of optimal algorithms can be fully automated.

This work develops the complexity theory of LCL problems for toroidal 2-dimensional grids. The complexity classes are the same as in the 1-dimensional case: O(1), Θ(log*n), and Θ(n). In addition to the general complexity result, we classify the complexity of several concrete LCL problems related to colourings and orientations, partially with the help of automated design tools.

Name(s):Christoph Lenzen
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Created by:Christoph Lenzen, 10/02/2017 10:28 AMLast modified by:Uwe Brahm/MPII/DE, 10/10/2017 04:01 AM
  • Christoph Lenzen, 10/02/2017 10:29 AM
  • Christoph Lenzen, 10/02/2017 10:28 AM -- Created document.