| Title: | Domination in cylindrical graphs |
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| Authors: | ID Martínez, José Antonio (Author)
ID Mora, Mercè (Author)
ID Puertas, María Luz (Author)
ID Tejel, Javier (Author) |
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| Files: |  AMC_Martinez,_Mora,_Luz_Puertas,_Tejel_2026.pdf (1,43 MB)
MD5: 868FA5DAB174364F7FD985AACA79319B
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | The domination number γ(Cm □ Pn) of the Cartesian product Cm □ Pn of a cycle and a path has been computed when m ≡ 0, 2 (mod 5). In the remaining cases m ≡ 1, 3, 4 (mod 5), exact formulae for γ(Cm □ Pn) have been determined when either n ≤ 22 or m ≤ 30. For the rest of the cases, only lower and upper bounds for γ(Cm □ Pn) are known. In this paper, we study γ(Cm □ Pn) when m ≡ 1, 3, 4 (mod 5). In particular, we compute γ(Cm □ Pn) if 30 ≤ m ≡ 1 (mod 5) and n ≥ 22, and we provide tighter lower and upper bounds for γ(Cm □ Pn) if m ≡ 3, 4 (mod 5). |
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| Keywords: | Domination in graphs, Cartesian product graphs, tropical matrix multiplication |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 06.07.2026 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2026 |
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| Number of pages: | 27 str. |
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| Numbering: | Vol. 26, no. 3, [article no.] P3.10 |
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| PID: | 20.500.12556/RUP-23522  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3608.fc9 |
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| Publication date in RUP: | 20.08.2026 |
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| Views: | 27 |
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| Downloads: | 0 |
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