Shortest dominating set reconfiguration under token sliding
Křišťan JM, Svoboda J. 2023. Shortest dominating set reconfiguration under token sliding. 24th International Symposium on Fundamentals of Computation Theory. FCT: Fundamentals of Computation Theory, LNCS, vol. 14292, 333–347.
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Author
Křišťan, Jan Matyáš;
Svoboda, JakubISTA 
Department
Series Title
LNCS
Abstract
In this paper, we present novel algorithms that efficiently compute a shortest reconfiguration sequence between two given dominating sets in trees and interval graphs under the TOKEN SLIDING model. In this problem, a graph is provided along with its two dominating sets, which can be imagined as tokens placed on vertices. The objective is to find a shortest sequence of dominating sets that transforms one set into the other, with each set in the sequence resulting from sliding a single token in the previous set. While identifying any sequence has been well studied, our work presents the first polynomial algorithms for this optimization variant in the context of dominating sets.
Publishing Year
Date Published
2023-09-21
Proceedings Title
24th International Symposium on Fundamentals of Computation Theory
Publisher
Springer Nature
Volume
14292
Page
333-347
Conference
FCT: Fundamentals of Computation Theory
Conference Location
Trier, Germany
Conference Date
2023-09-18 – 2023-09-21
ISBN
ISSN
eISSN
IST-REx-ID
Cite this
Křišťan JM, Svoboda J. Shortest dominating set reconfiguration under token sliding. In: 24th International Symposium on Fundamentals of Computation Theory. Vol 14292. Springer Nature; 2023:333-347. doi:10.1007/978-3-031-43587-4_24
Křišťan, J. M., & Svoboda, J. (2023). Shortest dominating set reconfiguration under token sliding. In 24th International Symposium on Fundamentals of Computation Theory (Vol. 14292, pp. 333–347). Trier, Germany: Springer Nature. https://doi.org/10.1007/978-3-031-43587-4_24
Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration under Token Sliding.” In 24th International Symposium on Fundamentals of Computation Theory, 14292:333–47. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-43587-4_24.
J. M. Křišťan and J. Svoboda, “Shortest dominating set reconfiguration under token sliding,” in 24th International Symposium on Fundamentals of Computation Theory, Trier, Germany, 2023, vol. 14292, pp. 333–347.
Křišťan JM, Svoboda J. 2023. Shortest dominating set reconfiguration under token sliding. 24th International Symposium on Fundamentals of Computation Theory. FCT: Fundamentals of Computation Theory, LNCS, vol. 14292, 333–347.
Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration under Token Sliding.” 24th International Symposium on Fundamentals of Computation Theory, vol. 14292, Springer Nature, 2023, pp. 333–47, doi:10.1007/978-3-031-43587-4_24.
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