Optimal variable ordering in ZBDD-based path representations for directed acyclic graphs
Stelios Neophytou, Maria K. Michael
Abstract
Stelios Neophytou, Maria K. Michael
Abstract
This work proposes a reverse topological ordering for the variables of Zero-suppressed Binary Decision Diagrams (ZBDD) which bounds their size when used to represent the paths of a Directed Acyclic Graph (DAG). Specifically, the size of a ZBDD representing all paths of a DAG is shown to be linear to the number of the edges in the DAG.
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This work proposes a reverse topological ordering for the variables of Zero-suppressed Binary Decision Diagrams (ZBDD) which bounds their size when used to represent the paths of a Directed Acyclic Graph (DAG). Specifically, the size of a ZBDD representing all paths of a DAG is shown to be linear to the number of the edges in the DAG.
Key concepts: Directed acyclic graph, Topological sorting, Directed graph, Binary decision diagram, Path (computing), Variable (mathematics), Computer science, Binary number