13,431 research outputs found
All the shapes of spaces: a census of small 3-manifolds
In this work we present a complete (no misses, no duplicates) census for
closed, connected, orientable and prime 3-manifolds induced by plane graphs
with a bipartition of its edge set (blinks) up to edges. Blinks form a
universal encoding for such manifolds. In fact, each such a manifold is a
subtle class of blinks, \cite{lins2013B}. Blinks are in 1-1 correpondence with
{\em blackboard framed links}, \cite {kauffman1991knots, kauffman1994tlr} We
hope that this census becomes as useful for the study of concrete examples of
3-manifolds as the tables of knots are in the study of knots and links.Comment: 31 pages, 17 figures, 38 references. In this version we introduce
some new material concerning composite manifold
PHORMA: Perfectly Hashable Order Restricted Multidimensional Arrays
In this paper we propose a simple and efficient data structure yielding a
perfect hashing of quite general arrays. The data structure is named phorma,
which is an acronym for perfectly hashable order restricted multidimensional
array.
Keywords: Perfect hash function, Digraph, Implicit enumeration,
Nijenhuis-Wilf combinatorial family.Comment: 12 pages, 4 figures, 2 tables. Revised version. Submitted to Discrete
Applied Mathematic
- …