Abstract
Dynamic Storage Allocation is a problem concerned with storing items that each have weight and time restrictions. Approximate algorithms have been constructed through online coloring of interval graphs. We present a generalization that uses online coloring of tolerance graphs. We utilize online-with-representation algorithms on tolerance graphs, which are online algorithms in which the corresponding tolerance representation of a vertex is also presented. We find linear bounds for the online-with-representation chromatic number of various classes of tolerance graphs and apply these results to a generalization of Dynamic Storage Allocation, giving us a polynomial time approximation algorithm with linear performance ratio.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 253-262 |
| Number of pages | 10 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| Volume | 16 |
| Issue number | 3 |
| State | Published - 2014 |
Keywords
- Dynamic storage allocation
- Online coloring
- Tolerance graphs
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Discrete Mathematics and Combinatorics