Title
A necessary condition for the tightness of odd-dimensional combinatorial manifolds
Abstract
We present a necessary condition for ( ¿ - 1 ) -connected combinatorial ( 2 ¿ + 1 ) -manifolds to be tight. As a corollary, we show that there is no tight combinatorial three-manifold with first Betti number at most two other than the boundary of the four-simplex and the nine-vertex triangulation of the three-dimensional Klein bottle.
Year
DOI
Venue
2016
10.1016/j.ejc.2015.07.017
European Journal of Combinatorics
Field
DocType
Volume
Discrete mathematics,Betti number,Combinatorics,Klein bottle,Triangulation (social science),Corollary,Mathematics,Manifold
Journal
51
Issue
ISSN
Citations 
C
0195-6698
0
PageRank 
References 
Authors
0.34
9
1
Name
Order
Citations
PageRank
Jonathan Spreer14711.46