Title
Compiling Graph Substructures into Sentential Decision Diagrams.
Abstract
The Zero-suppressed Sentential Decision Diagram (ZSDD) is a recently discovered tractable representation of Boolean functions. ZSDD subsumes the Zero-suppressed Binary Decision Diagram (ZDD) as a strict subset, and similar to ZDD, it can perform several useful operations like model counting and Apply operations. We propose a top-down compilation algorithm for ZSDD that represents sets of specific graph substructures, e.g., matchings and simple paths of a graph. We experimentally confirm that the proposed algorithm is faster than other construction methods including bottom-up methods and top-down methods for ZDDs, and the resulting ZSDDs are smaller than ZDDs representing the same graph substructures. We also show that the size constructed ZSDDs can be bounded by the branch-width of the graph. This bound is tighter than that of ZDDs.
Year
Venue
Field
2017
THIRTY-FIRST AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE
Graph,Computer science,Theoretical computer science,Artificial intelligence,Machine learning
DocType
Citations 
PageRank 
Conference
3
0.41
References 
Authors
0
4
Name
Order
Citations
PageRank
Masaaki Nishino12810.34
Norihito Yasuda27212.56
Shin-ichi Minato372584.72
Masaaki Nagata457377.86