Abstract.
In this article we describe a canonical way to expand a certain kind
of 
( 2 ) n+1 -colored regular graphs into closed
n-manifolds by adding cells determined by the edge-colorings
inductively. We show that every closed combinatorial 
n-manifold
can be obtained in this way. When 
n3, we give simple
equivalent conditions for a colored graph to admit an expansion. In
addition, we show that if a 
( 2 ) n+1 -colored regular
graph admits an 
n-skeletal expansion, then it is realizable as the
induced graph of an 
(n+1)-dimensional closed 
( 2 ) n+1 -manifold.
Comments (0)