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Discussiones Mathematicae. Graph Theory, ISSN 2083-5892, 2019, Volume 39, Issue 2, pp. 519 - 532
A on a graph is a function : ( ) → {0, 1, 2} satisfying the following conditions: (i) every vertex for which ) = 0 is adjacent to at least one vertex for which... 
total Roman domination number | 05C69 | total Roman dominating function | trees | MATHEMATICS
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 05/2019, Volume 39, Issue 2, pp. 455 - 472
Let = ( ) be a graph and let : ( ) → {0, 1, 2} be a function. A vertex is said to be protected with respect to , if ) 0 or ) = 0 and is adjacent to a vertex of... 
co-Roman domination number | co-Roman dominating function | Roman domination | 05C69 | MATHEMATICS
Journal Article
MATHEMATICS, ISSN 2227-7390, 06/2020, Volume 8, Issue 6, p. 966
A dominating set in a graph G is a set of vertices S subset of V(G) such that any vertex of V-S is adjacent to at least one vertex of S.A dominating set S of G... 
MATHEMATICS | tree | Roman domination number | perfect Roman domination number
Journal Article
Journal of Taibah University for Science, ISSN 1658-3655, 2019, Volume 13, Issue 1, pp. 883 - 891
An outer-independent k-rainbow dominating function of a graph G is a function f from to the set of all subsets of such that both the following hold: (i)... 
k-rainbow dominating function | outer-independent domination | k-rainbow domination | 2-RAINBOW DOMINATION | BOUNDS | ROMAN | MULTIDISCIPLINARY SCIENCES | 2-OUTER-INDEPENDENT DOMINATION | DOMATIC NUMBER
Journal Article
MATHEMATICS, ISSN 2227-7390, 11/2019, Volume 7, Issue 11, p. 1010
A vertex v of a graph G = (V, E), ve-dominates every edge incident to v, as well as every edge adjacent to these incident edges. A set S subset of V is a... 
MATHEMATICS | vertex-edge dominating set | double vertex-edge dominating set | 2-dominating set | total dominating set
Journal Article
Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 10/2019, Volume 43, Issue 5, pp. 2541 - 2549
... • Seyed Mahmoud Sheikholeslami 3 • Marzieh Soroudi 3 • Pu Wu 1 • Bo Wang 4 Received: 17 July 2017 / Accepted: 25 June 2019 / Published online: 9 July 2019 Supported... 
Engineering | Life Sciences, general | Chemistry/Food Science, general | Materials Science, general | Earth Sciences, general | Signed domination number | Engineering, general | Physics, general | 05C69 | Cartesian product | Cycle | NUMBERS | MULTIDISCIPLINARY SCIENCES
Journal Article
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