Name
Abstract | ||
|---|---|---|
As part of the efforts to understand the intricacies of the k-colorability problem, different distributions over k-colorable graphs have been analyzed. While the problem is notoriously hard (not even reasonably approximable) in the worst case, the average case (with respect to such distributions) often turns out to be ''easy''. Semi-random models mediate between these two extremes and are more suitable to imitate ''real-life'' instances than purely random models. In this work we consider semi-random variants of the planted k-colorability distribution. This continues a line of research pursued by Coja-Oghlan, and by Krivelevich and Vilenchik. Our aim is to study a more general semi-random framework than those suggested so far. On the one hand we show that previous algorithmic techniques extend to our more general semi-random setting; on the other hand we give a hardness result, proving that a closely related semi-random model is intractable. Thus we provide some indication about which properties of the input distribution make the k-colorability problem hard. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.ipl.2008.04.011 | Inf. Process. Lett. |
Keywords | Field | DocType |
semi-random models,semirandom graph,k-coloring,semi-random model,different distribution,k-colorability distribution,graph algorithms,input distribution,semi-random variant,worst case,average case analysis,average case,k-colorability problem,general semi-random framework,general semi-random setting | Graph algorithms,Discrete mathematics,Graph,Combinatorics,Information processing,Algorithmics,Graph colouring,Mathematics | Journal |
Volume | Issue | ISSN |
108 | 3 | 0020-0190 |
Citations | PageRank | References |
1 | 0.34 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Julia Böttcher | 1 | 93 | 17.35 |
| Dan Vilenchik | 2 | 143 | 13.36 |