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Croatian Operational Research Review, Vol. 6 No. 1, 2015.
Izvorni znanstveni članak
https://doi.org/10.17535/crorr.2015.0006
Roman domination number on cardinal product of paths and cycles
Antoaneta Klobučar
; Faculty of Economics, Josip Juraj Strossmayer University of Osijek, Osijek, Croatia
Ivona Puljić
; Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Osijek, Croatia
| Puni tekst: engleski, pdf (81 KB) | str. 71-78 | citiraj | |
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APA 6th Edition Klobučar, A. i Puljić, I. (2015). Roman domination number on cardinal product of paths and cycles. Croatian Operational Research Review, 6 (1), 71-78. https://doi.org/10.17535/crorr.2015.0006 MLA 8th Edition Klobučar, Antoaneta i Ivona Puljić. "Roman domination number on cardinal product of paths and cycles." Croatian Operational Research Review, vol. 6, br. 1, 2015, str. 71-78. https://doi.org/10.17535/crorr.2015.0006. Citirano 22.02.2019. Chicago 17th Edition Klobučar, Antoaneta i Ivona Puljić. "Roman domination number on cardinal product of paths and cycles." Croatian Operational Research Review 6, br. 1 (2015): 71-78. https://doi.org/10.17535/crorr.2015.0006 Harvard Klobučar, A., i Puljić, I. (2015). 'Roman domination number on cardinal product of paths and cycles', Croatian Operational Research Review, 6(1), str. 71-78. doi: https://doi.org/10.17535/crorr.2015.0006 Vancouver Klobučar A, Puljić I. Roman domination number on cardinal product of paths and cycles. Croatian Operational Research Review [Internet]. 2015 [pristupljeno 22.02.2019.];6(1):71-78. doi: https://doi.org/10.17535/crorr.2015.0006 IEEE A. Klobučar i I. Puljić, "Roman domination number on cardinal product of paths and cycles", Croatian Operational Research Review, vol.6, br. 1, str. 71-78, 2015. [Online]. doi: https://doi.org/10.17535/crorr.2015.0006 |
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Sažetak
In this paper, the authors have determined certain upper and lower bounds for Roman domination numbers on cardinal products for any two graphs and some exact values for the cardinal product of paths and cycles. Roman domination was named after the historical fact that Roman legions were distributed across regions during the reign of the Roman Emperor Constantine in the 4th century A.D. Some areas had 1 or 2 legions, some had no legions, but every area had at least 1 neighboring area with 2 legions. Roman domination is used even today, not only in military situations, but also in protecting some locations against fi re or crime.
Ključne riječi
Roman dominating function; Roman domination number γR; cardinal product of paths; cardinal product of paths and cycles
Hrčak ID: 138577
URI
https://hrcak.srce.hr/138577
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