Geodesic
Improved Mixed Integer Linear Programing Formulations for Roman Domination Problem
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 51 .

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The Roman domination problem is considered. An improvement of two existing Integer Linear Programing (ILP) formulations is proposed and comparison between the old and new ones is given. Correctness proofs show that improved linear programing formulations are equivalent to the existing ones regardless of the variables relaxation and usage of lesser number of constraints.
DOI : 10.2298/PIM1613051I
Classification : 65K05, 90C11, 90C05, 94C15, 68R10
Keywords: Roman domination in graphs, combinatorial optimization, mixed integer linear programming 
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     author = {Marija Ivanovi\'c},
     title = {Improved {Mixed} {Integer} {Linear} {Programing} {Formulations} for {Roman} {Domination} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {51 },
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     year = {2016},
     doi = {10.2298/PIM1613051I},
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Marija Ivanović. Improved Mixed Integer Linear Programing Formulations for Roman Domination Problem. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 51 . doi : 10.2298/PIM1613051I. http://geodesic.mathdoc.fr/articles/10.2298/PIM1613051I/

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