We describe a fixed parameter tractable (fpt) algorithm for Colored Hypergraph Isomorphism} which has running time $2^{O(b)}N^{O(1)}$, where the parameter $b$ is the maximum size of the color classes of the given hypergraphs and $N$ is the input size. We also describe fpt algorithms for certain permutation group problems that are used as subroutines in our algorithm.
@InProceedings{arvind_et_al:LIPIcs.FSTTCS.2010.327, author = {Arvind, V. and Das, Bireswar and K\"{o}bler, Johannes and Toda, Seinosuke}, title = {{Colored Hypergraph Isomorphism is Fixed Parameter Tractable}}, booktitle = {IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)}, pages = {327--337}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-23-1}, ISSN = {1868-8969}, year = {2010}, volume = {8}, editor = {Lodaya, Kamal and Mahajan, Meena}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2010.327}, URN = {urn:nbn:de:0030-drops-28751}, doi = {10.4230/LIPIcs.FSTTCS.2010.327}, annote = {Keywords: Fixed parameter tractability, fpt algorithms, graph isomorphism, computational complexity} }
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