Article ID Journal Published Year Pages File Type
4652687 Electronic Notes in Discrete Mathematics 2008 6 Pages PDF
Abstract

We consider a track assignment problem in a train depot leading to an online bounded coloring problem on permutation graphs or on overlap graphs. For permutation graphs we study the competitiveness of a First Fit-based algorithm and we show it matches the competitive ratio of the problem. For overlap graphs, even the unbounded case does not admit a constant competitive ratio.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics