Titill: | Improved distributed algorithms for coloring interval graphs with application to multicoloring trees |
Höfundur: |
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Útgáfa: | 2020-04 |
Tungumál: | Enska |
Umfang: | 29-41 |
Háskóli/Stofnun: | Háskólinn í Reykjavík Reykjavik University |
Svið: | Tæknisvið (HR) School of Technology (RU) |
Deild: | Tölvunarfræðideild (HR) School of Computer Science (RU) |
Birtist í: | Theoretical Computer Science;811 |
ISSN: | 0304-3975 1879-2294 (eISSN) |
DOI: | https://doi.org/10.1016/j.tcs.2018.11.028 |
Efnisorð: | Theoretical Computer Science; General Computer Science; Algorithms and Complexity; Distributed computing; Tölvunarfræði; Reiknirit |
URI: | https://hdl.handle.net/20.500.11815/2034 |
Tilvitnun:Halldorsson, M. M., & Konrad, C. (2020). Improved distributed algorithms for coloring interval graphs with application to multicoloring trees. Theoretical Computer Science, 811, 29–41. https://doi.org/10.1016/j.tcs.2018.11.028
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Útdráttur:We give a distributed (1+eps)-approximation algorithm for the minimum vertex coloring problem on interval graphs, which runs in the LOCAL model and operates in O((1/eps) log* n) rounds. If nodes are aware of their interval representations, then the algorithm can be adapted to the CONGEST model using the same number of rounds. Prior to this work, only constant factor approximations using O(log* n) rounds were known. Linial's ring coloring lower bound implies that the dependency on log* n cannot be improved. We further prove that the dependency on 1/eps is also optimal.
To obtain our CONGEST model algorithm, we develop a color rotation technique that may be of independent interest. We demonstrate that color rotations can also be applied to obtain a (1+eps)-approximate multicoloring of directed trees in O((1/eps)log* n) rounds.
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Athugasemdir:Post-print (lokagerð höfundar)
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Leyfi:Post-print (lokagerð höfundar)
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