Abstract | ||
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For a field F , the notion of F -tightness of simplicial complexes was introduced by Kühnel. Kühnel and Lutz conjectured that F -tight triangulations of a closed manifold are the most economic of all possible triangulations of the manifold.The boundary of a triangle is the only F -tight triangulation of a closed 1-manifold. A triangulation of a closed 2-manifold is F -tight if and only if it is F -orientable and neighbourly. In this paper we prove that a triangulation of a closed 3-manifold is F -tight if and only if it is F -orientable, neighbourly and stacked. In consequence, the Kühnel-Lutz conjecture is valid in dimension ź 3 . |
Year | DOI | Venue |
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2017 | 10.1016/j.ejc.2016.10.005 | Eur. J. Comb. |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Closed manifold,Triangulation (social science),Triangulation,Conjecture,Mathematics,Manifold | Journal | 61 |
Issue | ISSN | Citations |
C | 0195-6698 | 0 |
PageRank | References | Authors |
0.34 | 5 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bhaskar Bagchi | 1 | 70 | 15.28 |
Basudeb Datta | 2 | 64 | 13.91 |
Jonathan Spreer | 3 | 47 | 11.46 |