Title
A characterization of tightly triangulated 3-manifolds
Abstract
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
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 Bagchi17015.28
Basudeb Datta26413.91
Jonathan Spreer34711.46