Labeling algorithm for power domination problem of trees
•The algorithm proposed in this paper is simpler and easier to understand compared to the algorithms in references [3] and [8].•The paper focuses on the power domination problem on trees and presents a linear-time algorithm to solve it using the labeling method. In this paper, the power domination p...
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| Vydané v: | Applied mathematics and computation Ročník 457; s. 128163 |
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| Jazyk: | English |
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15.11.2023
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| ISSN: | 0096-3003 |
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| Abstract | •The algorithm proposed in this paper is simpler and easier to understand compared to the algorithms in references [3] and [8].•The paper focuses on the power domination problem on trees and presents a linear-time algorithm to solve it using the labeling method.
In this paper, the power domination problem on trees is studied and we give a linear-time algorithm to it by using the labeling method. Our algorithm is simpler and easier to understand than those in [3,7]. |
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| AbstractList | •The algorithm proposed in this paper is simpler and easier to understand compared to the algorithms in references [3] and [8].•The paper focuses on the power domination problem on trees and presents a linear-time algorithm to solve it using the labeling method.
In this paper, the power domination problem on trees is studied and we give a linear-time algorithm to it by using the labeling method. Our algorithm is simpler and easier to understand than those in [3,7]. |
| ArticleNumber | 128163 |
| Author | Lyu, Yijia |
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| Cites_doi | 10.1137/S0895480100375831 10.2989/16073606.2014.981694 10.1109/59.260810 10.1007/s10878-014-9795-0 10.1016/j.dam.2005.08.006 10.1016/j.tcs.2019.12.013 10.1007/11533719_83 10.1016/j.dam.2012.03.007 |
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| References | Dorfling, Henning (bib0005) 2015; 38 Haynes, Hedetniemi, Hedetniemi, Henning (bib0003) 2002; 15 Mili, Baldwin, Phadke (bib0002) 1991 Baldwin, Mili, Boisen, Adapa (bib0001) 1993; 8 Chang, Dorbec, Montassier, Raspaud (bib0007) 2012; 160 Dorfling, Henning (bib0004) 2006; 154 Liao, Lee (bib0006) 2005; 3595 Garey, Johnson (bib0010) 1979 Cheng, Lu, Zhou (bib0008) 2020; 809 Wang, Chen, Lu (bib0009) 2016; 31 Liao (10.1016/j.amc.2023.128163_bib0006) 2005; 3595 Baldwin (10.1016/j.amc.2023.128163_bib0001) 1993; 8 Dorfling (10.1016/j.amc.2023.128163_bib0004) 2006; 154 Wang (10.1016/j.amc.2023.128163_bib0009) 2016; 31 Chang (10.1016/j.amc.2023.128163_bib0007) 2012; 160 Garey (10.1016/j.amc.2023.128163_bib0010) 1979 Mili (10.1016/j.amc.2023.128163_bib0002) 1991 Haynes (10.1016/j.amc.2023.128163_bib0003) 2002; 15 Dorfling (10.1016/j.amc.2023.128163_bib0005) 2015; 38 Cheng (10.1016/j.amc.2023.128163_bib0008) 2020; 809 |
| References_xml | – volume: 15 start-page: 519 year: 2002 end-page: 529 ident: bib0003 article-title: Domination in graphs applied to electric power networks publication-title: SIAM J. Discrete Math. – volume: 154 start-page: 1023 year: 2006 end-page: 1027 ident: bib0004 article-title: A note on power domination in grid graphs publication-title: Discrete Appl. Math. – volume: 809 start-page: 231 year: 2020 end-page: 238 ident: bib0008 article-title: The publication-title: Theoret. Comput. Sci. – volume: 3595 start-page: 818 year: 2005 end-page: 828 ident: bib0006 article-title: Power domination problem in graphs publication-title: Lect. Notes Comput. Sci. – volume: 31 start-page: 865 year: 2016 end-page: 873 ident: bib0009 article-title: -Power domination in block graphs publication-title: J. Comb. Optim. – volume: 38 start-page: 155 year: 2015 end-page: 180 ident: bib0005 article-title: Transversals in 5-uniform hypergraphs and total domination in graphs with minimum degree five publication-title: Quaestiones Math. – volume: 160 start-page: 1691 year: 2012 end-page: 1698 ident: bib0007 article-title: Generalized power domination of graphs publication-title: Discrete Appl. Math. – year: 1979 ident: bib0010 article-title: Computers and Intractability: A Guide to the Theory of NP-Completeness – volume: 8 start-page: 707 year: 1993 end-page: 715 ident: bib0001 article-title: Power system observability with minimal phasor measurement placement publication-title: IEEE Trans. Power Syst. – year: 1991 ident: bib0002 article-title: Phasor measurement placement for voltage and stability monitoring and control publication-title: Proceedings of the EPRI-NSF Workshop on Application of Advanced Mathematices to Power Systems, San Francisco, CA – volume: 15 start-page: 519 year: 2002 ident: 10.1016/j.amc.2023.128163_bib0003 article-title: Domination in graphs applied to electric power networks publication-title: SIAM J. Discrete Math. doi: 10.1137/S0895480100375831 – volume: 38 start-page: 155 year: 2015 ident: 10.1016/j.amc.2023.128163_bib0005 article-title: Transversals in 5-uniform hypergraphs and total domination in graphs with minimum degree five publication-title: Quaestiones Math. doi: 10.2989/16073606.2014.981694 – volume: 8 start-page: 707 year: 1993 ident: 10.1016/j.amc.2023.128163_bib0001 article-title: Power system observability with minimal phasor measurement placement publication-title: IEEE Trans. Power Syst. doi: 10.1109/59.260810 – volume: 31 start-page: 865 year: 2016 ident: 10.1016/j.amc.2023.128163_bib0009 article-title: k-Power domination in block graphs publication-title: J. Comb. Optim. doi: 10.1007/s10878-014-9795-0 – volume: 154 start-page: 1023 year: 2006 ident: 10.1016/j.amc.2023.128163_bib0004 article-title: A note on power domination in grid graphs publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2005.08.006 – volume: 809 start-page: 231 year: 2020 ident: 10.1016/j.amc.2023.128163_bib0008 article-title: The k-power domination problem in weighted trees publication-title: Theoret. Comput. Sci. doi: 10.1016/j.tcs.2019.12.013 – volume: 3595 start-page: 818 year: 2005 ident: 10.1016/j.amc.2023.128163_bib0006 article-title: Power domination problem in graphs publication-title: Lect. Notes Comput. Sci. doi: 10.1007/11533719_83 – year: 1991 ident: 10.1016/j.amc.2023.128163_bib0002 article-title: Phasor measurement placement for voltage and stability monitoring and control – year: 1979 ident: 10.1016/j.amc.2023.128163_bib0010 – volume: 160 start-page: 1691 year: 2012 ident: 10.1016/j.amc.2023.128163_bib0007 article-title: Generalized power domination of graphs publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2012.03.007 |
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| SubjectTerms | Dominating set Linear-time algorithm Power domination Trees |
| Title | Labeling algorithm for power domination problem of trees |
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