Title
Design and Analysis of a Tree-Backtracking Algorithm for Multiset and Pure Permutations.
Abstract
A tree-backtracking-based technique, permutation tree generation with Anterior-items-in-an-array for Remaining Distinct Elements (ARDE), is introduced for multiset and pure permutations. We analyze the algorithm at the assembly level and obtain its time formula for pure permutations. We mathematically prove that our time formula is 11.5% faster than the corresponding formula of the previous fastest algorithm for pure permutations for any length N > 3. We also offer related source codes and executable files on our web site for others to use. © 2012 Springer-Verlag.
Year
DOI
Venue
2012
10.1007/978-3-642-35926-2_31
IWOCA
Keywords
Field
DocType
multiset permutation,tree generation,tree-backtracking
Discrete mathematics,Multiset,Source code,Computer science,Permutation,Algorithm,Tree generation,Backtracking,Web site,Executable
Conference
Volume
Issue
ISSN
7643 LNCS
null
16113349
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Ray Jinzhu Chen1171.74
Kevin Scott Reschke221.43
Hailong Hu311.03