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On-line conflict-free colorings for intervals

Publication at Faculty of Mathematics and Physics |
2005

Abstract

We suppose that n points on the real line are inserted one by one, and each inserted points should be assigned one of k colors, so that at any moment the coloring of the already inserted points is conflict-free, that is, each interval with at least one point contains a point whose colors occurs exactly once in that interval. We investigate algorithms for such coloring, aiming at k as small as possible.