Improved Lower Bounds on the On-line Chain Partitioning of Posets of Bounded Dimension
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,Geometry and Topology,Algebra and Number Theory,Discrete Mathematics and Combinatorics
Link
https://link.springer.com/content/pdf/10.1007/s11083-023-09629-7.pdf
Reference6 articles.
1. Kierstead, H.A.: An effective version of Dilworth’s theorem. Trans. Amer. Math. Soc. 268(1), 63–77 (1981). https://doi.org/10.2307/1998337
2. Felsner, S. On-line chain partitions of orders. Theoret. Comput. Sci. 175(2), 283–292 (1997). Orders, algorithms and applications (Lyon, 1994) https://doi.org/10.1016/S0304-3975(96)00204-6
3. Bosek, B., Krawczyk, T. On-line partitioning of width w posets into $$w^{O(\log \log w)}$$ chains. European J. Combin. 91, 103202–17 (2021). https://doi.org/10.1016/j.ejc.2020.103202
4. Kierstead, H.A. Recursive ordered sets. In: Combinatorics and Ordered Sets (Arcata, Calif., 1985). Contemp. Math., vol. 57, pp. 75–102. Amer. Math. Soc., Providence, RI, (1986). 10.1090/conm/057/856233
5. Bosek, B., Felsner, S., Kloch, K., Krawczyk, T., Matecki, G., Micek, P. On-line chain partitions of orders: a survey. Order 29(1), 49–73 (2012). 10.1007/s11083-011-9197-1
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