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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 preuzimanja: 608* citiraj
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 26.09.2021.
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. 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 26.09.2021.];6(1):71-78. 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]. https://doi.org/10.17535/crorr.2015.0006

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

Posjeta: 952 *