de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Minimum Fill-in of Sparse Graphs: Kernelization and Approximation

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons71823

Philip,  Geevarghese
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)
There are no public fulltexts available
Supplementary Material (public)
There is no public supplementary material available
Citation

Fomin, F. V., Philip, G., & Villanger, Y. (2015). Minimum Fill-in of Sparse Graphs: Kernelization and Approximation. Algorithmica, 71(1), 1-20. doi:10.1007/s00453-013-9776-1.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0025-7592-A
Abstract
The Minimum Fill-in problem is to decide if a graph can be triangulated by adding at most k edges. The problem has important applications in numerical algebra, in particular in sparse matrix computations. We develop kernelization algorithms for the problem on several classes of sparse graphs. We obtain linear kernels on planar graphs, and kernels of size in graphs excluding some fixed graph as a minor and in graphs of bounded degeneracy. As a byproduct of our results, we obtain approximation algorithms with approximation ratios on planar graphs and on H-minor-free graphs. These results significantly improve the previously known kernelization and approximation results for Minimum Fill-in on sparse graphs.