Authors
Takehiro Ito, Jun Kawahara, Yu Nakahata, Takehide Soh, Akira Suzuki, Junichi Teruyama, Takahisa Toda
Publication date
2023/5/23
Book
International Conference on Integration of Constraint Programming, Artificial Intelligence, and Operations Research
Pages
167-183
Publisher
Springer Nature Switzerland
Description
This paper proposes an algorithmic framework for solving various combinatorial reconfiguration problems by using zero-suppressed binary decision diagrams (ZDDs), a data structure for representing families of sets. In general, a reconfiguration problem checks if there is a step-by-step transformation between two given feasible solutions (e.g., independent sets of an input graph) of a fixed search problem, such that all intermediate results are also feasible and each step obeys a fixed reconfiguration rule (e.g., adding/removing a single vertex to/from an independent set). The solution space formed by all feasible solutions can be exponential in the input size, and indeed, many reconfiguration problems are known to be PSPACE-complete. This paper shows that an algorithm in the proposed framework efficiently conducts breadth-first search by compressing the solution space using ZDDs, and that it finds a shortest …
Total citations
202220232024144
Scholar articles
T Ito, J Kawahara, Y Nakahata, T Soh, A Suzuki… - International Conference on Integration of Constraint …, 2023