|author:||Abbas, N., Culberson, J., and Stewart, L.|
|title:||Recognizing Maximal Unfrozen Graphs with respect to Independent Sets is CO-NP-complete|
|keywords:||graph, independent set, co-NP-complete, extremal, unfrozen|
|abstract:||A graph is unfrozen with respect to k independent set if it has an independent set of size k after the addition of any edge. The problem of recognizing such graphs is known to be NP-complete. A graph is maximal if the addition of one edge means it is no longer unfrozen. We designate the problem of recognizing maximal unfrozen graphs as MAX(U(k-SET)) and show that this problem is CO-NP-complete. This partially fills a gap in known complexity cases of maximal NP-complete problems, and raises some interesting open conjectures discussed in the conclusion. |
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files.
|reference:||Abbas, N., Culberson, J., and Stewart, L. (2005), Recognizing Maximal Unfrozen Graphs with respect to Independent Sets is CO-NP-complete, Discrete Mathematics and Theoretical Computer Science 7, pp. 141-154|
|bibtex:||For a corresponding BibTeX entry, please consider our BibTeX-file.|
|ps.gz-source:||dm070110.ps.gz (83 K)|
|ps-source:||dm070110.ps (205 K)|
|pdf-source:||dm070110.pdf (146 K)|
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.