Decompositions of two-dimensional simplicial complexes |
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Authors: | Masahiro Hachimori |
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Institution: | Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan |
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Abstract: | We show that the class of Cohen-Macaulay complexes, that of complexes with constructible subdivisions, and that of complexes with shellable subdivisions differ from each other in every dimension d?2. Further, we give a characterization of two-dimensional simplicial complexes with shellable subdivisions, and show also that they are constructible. |
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Keywords: | Simplicial complex Shellability Constructibility |
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