Dominating Set Reconfiguration with Answer Set Programming

The dominating set reconfiguration problem is defined as determining, for a given dominating set problem and two among its feasible solutions, whether one is reachable from the other via a sequence of feasible solutions subject to a certain adjacency relation. This problem is PSPACE-complete in gene...

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Bibliographic Details
Published in:Theory and practice of logic programming Vol. 24; no. 4; pp. 755 - 771
Main Authors: KATO, MASATO, BANBARA, MUTSUNORI, SCHAUB, TORSTEN, SOH, TAKEHIDE, TAMURA, NAOYUKI
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01.07.2024
Subjects:
Combinatorial analysis
Declarative programming
Graph coloring
Mathematical programming
Original Article
Reconfiguration
Social networks
Wireless networks
combinatorial reconfiguration
dominating set reconfiguration
answer set programming
ISSN:1471-0684, 1475-3081
Online Access:Get full text
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Summary:The dominating set reconfiguration problem is defined as determining, for a given dominating set problem and two among its feasible solutions, whether one is reachable from the other via a sequence of feasible solutions subject to a certain adjacency relation. This problem is PSPACE-complete in general. The concept of the dominating set is known to be quite useful for analyzing wireless networks, social networks, and sensor networks. We develop an approach to solve the dominating set reconfiguration problem based on answer set programming (ASP). Our declarative approach relies on a high-level ASP encoding, and both the grounding and solving tasks are delegated to an ASP-based combinatorial reconfiguration solver. To evaluate the effectiveness of our approach, we conduct experiments on a newly created benchmark set.
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ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068424000292