Overview Statistic: PDF-Downloads (blue) and Frontdoor-Views (gray)
  • search hit 8 of 16
Back to Result List

Degree-Based Treewidth Lower Bounds

Please always quote using this URN: urn:nbn:de:0297-zib-8193
  • Every lower bound for treewidth can be extended by taking the maximum of the lower bound over all subgraphs or minors. This extension is shown to be a very vital idea for improving treewidth lower bounds. In this paper, we investigate a total of nine graph parameters, providing lower bounds for treewidth. The parameters have in common that they all are the vertex-degree of some vertex in a subgra ph or minor of the input graph. We show relations between these graph parameters and study their computational complexity. To allow a practical comparison of the bounds, we developed heuristic algorithms for those parameters that are NP-hard to compute. Computational experiments show that combining the treewidth lower bounds with minors can considerably improve the lower bounds.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar Statistics - number of accesses to the document
Metadaten
Author:Arie M.C.A. Koster, Thomas Wolle, Hans L. Bodlaender
Document Type:ZIB-Report
Tag:Ramachandramurthi parameter; contraction degeneracy; treewidth lower bounds
MSC-Classification:05-XX COMBINATORICS (For finite fields, see 11Txx) / 05Cxx Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) / 05C85 Graph algorithms [See also 68R10, 68W05]
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Qxx Theory of computing / 68Q25 Analysis of algorithms and problem complexity [See also 68W40]
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Rxx Discrete mathematics in relation to computer science / 68R10 Graph theory (including graph drawing) [See also 05Cxx, 90B10, 90B35, 90C35]
Date of first Publication:2004/11/08
Series (Serial Number):ZIB-Report (04-44)
ZIB-Reportnumber:04-44
Published in:Appeared in: Proc. 4th Int. Workshop on Experimental and Efficient Algorithms WEA 2005. S. E. Nikoletseas (ed.) LNCS 3503, Springer 2005, pp. 101-112
Accept ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.