Title
Finding All Solutions And Instances Of Numberlink And Slitherlink By Zdds
Abstract
Link puzzles involve finding paths or a cycle in a grid that satisfy given local and global properties. This paper proposes algorithms that enumerate solutions and instances of two link puzzles, Slitherlink and Numberlink, by zero-suppressed binary decision diagrams (ZDDs). A ZDD is a compact data structure for a family of sets provided with a rich family of set operations, by which, for example, one can easily extract a subfamily satisfying a desired property. Thanks to the nature of ZDDs, our algorithms offer a tool to assist users to design instances of those link puzzles.
Year
DOI
Venue
2012
10.3390/a5020176
ALGORITHMS
Keywords
Field
DocType
link puzzles, Slitherlink, Numberlink, solvers, instance generations
Data structure,Family of sets,Mathematical optimization,Set operations,Binary decision diagram,Artificial intelligence,Machine learning,Mathematics,Grid
Journal
Volume
Issue
ISSN
5
2
1999-4893
Citations 
PageRank 
References 
11
0.67
2
Authors
6
Name
Order
Citations
PageRank
Ryo Yoshinaka117226.19
Toshiki Saitoh28714.95
Jun Kawahara3110.67
Koji Tsuruma4141.43
Hiroaki Iwashita5899.62
Shin-ichi Minato672584.72