The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2)
The concept of the locating-chromatic number for graphs was introduced by Chartrand et al. (2002). Recently, Sakri and Abbas (2024), presented the locating-chromatic number of generalized Petersen graphs P(n,k) when n≤12. In this paper, We determine a lower and upper bound for the locating chromatic...
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| Language: | English |
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Elsevier
2025-06-01
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| Series: | Examples and Counterexamples |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X25000102 |
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| author | Redha Sakri Boualem Slimi |
| author_facet | Redha Sakri Boualem Slimi |
| author_sort | Redha Sakri |
| collection | DOAJ |
| description | The concept of the locating-chromatic number for graphs was introduced by Chartrand et al. (2002). Recently, Sakri and Abbas (2024), presented the locating-chromatic number of generalized Petersen graphs P(n,k) when n≤12. In this paper, We determine a lower and upper bound for the locating chromatic number of generalized Petersen graphs P(n,2) when n even and n≥14. |
| format | Article |
| id | doaj-art-ea20ece8cd2c414382b184eb80c3aeac |
| institution | DOAJ |
| issn | 2666-657X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj-art-ea20ece8cd2c414382b184eb80c3aeac2025-08-20T03:21:38ZengElsevierExamples and Counterexamples2666-657X2025-06-01710018310.1016/j.exco.2025.100183The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2)Redha Sakri0Boualem Slimi1National High School for Hydraulic (ENSH), BP 31 Blida, Algeria; Corresponding author.Department of Mathematics, Faculty of Sciences, Blida1 University, AlgeriaThe concept of the locating-chromatic number for graphs was introduced by Chartrand et al. (2002). Recently, Sakri and Abbas (2024), presented the locating-chromatic number of generalized Petersen graphs P(n,k) when n≤12. In this paper, We determine a lower and upper bound for the locating chromatic number of generalized Petersen graphs P(n,2) when n even and n≥14.http://www.sciencedirect.com/science/article/pii/S2666657X25000102Generalized Petersen graphsColor codeLocating chromatic numberLocating coloring |
| spellingShingle | Redha Sakri Boualem Slimi The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2) Examples and Counterexamples Generalized Petersen graphs Color code Locating chromatic number Locating coloring |
| title | The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2) |
| title_full | The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2) |
| title_fullStr | The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2) |
| title_full_unstemmed | The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2) |
| title_short | The bound on the locating-chromatic number for a generalized Petersen graphs P(N,2) |
| title_sort | bound on the locating chromatic number for a generalized petersen graphs p n 2 |
| topic | Generalized Petersen graphs Color code Locating chromatic number Locating coloring |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X25000102 |
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