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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| Veröffentlicht in: | Theory and practice of logic programming Jg. 24; H. 4; S. 755 - 771 |
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Cambridge, UK
Cambridge University Press
01.07.2024
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| ISSN: | 1471-0684, 1475-3081 |
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| Abstract | 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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| AbstractList | 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. |
| Author | TAMURA, NAOYUKI KATO, MASATO SCHAUB, TORSTEN SOH, TAKEHIDE BANBARA, MUTSUNORI |
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| Copyright | The Author(s), 2025. Published by Cambridge University Press The Author(s), 2025. Published by Cambridge University Press. This work is licensed under the Creative Commons Attribution License This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| Keywords | combinatorial reconfiguration dominating set reconfiguration answer set programming |
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| SubjectTerms | Combinatorial analysis Declarative programming Graph coloring Mathematical programming Original Article Reconfiguration Social networks Wireless networks |
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| Title | Dominating Set Reconfiguration with Answer Set Programming |
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