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Electronic journal of graph theory and applications, ISSN 2338-2287, 04/2019, Volume 7, Issue 1, pp. 77 - 89
A hop Roman dominating function (HRDF) on a graph G = (V, E) is a function f : V → {0, 1, 2} having the property that for every vertex v... 
dominating set, hop dominating set, hop independent set, hop roman dominating function, hop roman independent dominating function, complexity
Journal Article
Discrete mathematics, algorithms, and applications, ISSN 1793-8309, 09/2014, Volume 6, Issue 3, pp. np - np
A Roman dominating function on a graph G is a function f : V(G) arrow right {0, 1, 2} satisfying the condition that every vertex u of G for which f... 
Functions (mathematics) | Minimum weight | Trees | Construction | Algorithms | Mathematical analysis | Graphs | Roman
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 12/2017, Volume 94, Issue 12, pp. 2547 - 2557
A Roman dominating function (RDF) on a graph G is a function satisfying the condition that every vertex u for which is adjacent to at least one vertex v... 
Roman domination | outer-independent Roman domination | MATHEMATICS, APPLIED | 05C69 | Minimum weight | Graphs | Mathematical functions | Upper bounds
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 10/2017, Volume 40, Issue 4, pp. 1443 - 1454
Let $$G = (V, E)$$ G=(V,E) be a simple graph with vertex set V and edge set E. A mixed Roman dominating function (MRDF... 
Roman domination number | Mixed Roman dominating function | Mathematics, general | Mathematics | Applications of Mathematics | Roman dominating function | 05C69 | Mixed Roman domination number | MATHEMATICS | NUMBERS | Minimum weight | Graphs | Mathematical functions
Journal Article
Indian Journal of Mathematics, ISSN 0019-5324, 08/2018, Volume 60, Issue 2, pp. 287 - 300
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 7/2015, Volume 31, Issue 4, pp. 813 - 825
... $$u$$ u for which $$f(u)=0$$ f ( u ) = 0 is adjacent at least one vertex $$v$$ v for which $$f(v)=2$$ f ( v ) = 2 is a Roman dominating function... 
Global Roman dominating function | Global Roman domination number | Roman domination number | Mathematics | Engineering Design | Roman dominating function | Combinatorics | 05C69 | MATHEMATICS | Graphs | Mathematical functions
Journal Article
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 11/2017, Volume 37, Issue 4, pp. 1039 - 1053
Journal Article
Mathematical notes (Miskolci Egyetem (Hungary)), ISSN 1787-2405, 2016, Volume 17, Issue 1, pp. 3 - 14
Let D be a finite and simple digraph with vertex set V(D). A twin Roman dominating function (TRDF... 
Twin Roman dominating function | Roman dominating function | Roman domination number | Digraph | Twin Roman domination number | MATHEMATICS | twin Roman domination number | digraph | twin Roman dominating function
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 5/2016, Volume 32, Issue 3, pp. 1217 - 1227
...). A signed Roman k-dominating function (SRkDF) on a digraph D is a function $$f:V(D)\rightarrow \{-1,1,2\}$$ f : V ( D ) → { - 1 , 1 , 2 } satisfying the conditions... 
Signed Roman k -domination number | 05C20 | Mathematics | Engineering Design | Combinatorics | Digraph | Signed Roman k -dominating function | 05C69 | Signed Roman k-dominating function | Signed Roman k-domination number | Integers | Minimum weight | Mathematical analysis | Texts | Graphs | Roman | Graph theory | Combinatorial analysis
Journal Article
Acta mathematica Universitatis Comenianae, ISSN 0862-9544, 02/2018, Volume 87, Issue 1
Journal Article
Discussiones Mathematicae. Graph Theory, ISSN 2083-5892, 2019, Volume 39, Issue 2, pp. 519 - 532
.... The weight of a total Roman dominating function is the value ( )) = Σ f ( ). The ) is the minimum weight of a total Roman dominating function of . Ahangar in [H.A... 
total Roman domination number | 05C69 | total Roman dominating function | trees | MATHEMATICS
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 10/2016, Volume 32, Issue 3, pp. 855 - 871
Let $$G$$ G be a finite and simple graph with vertex set $$V(G)$$ V ( G ) . A signed total Roman dominating function (STRDF) on a graph $$G$$ G is a function $$f:V(G)\rightarrow \{-1,1,2\}$$ f : V ( G ) → { - 1 , 1 , 2... 
Convex and Discrete Geometry | Total dominating set | Total domination number | Signed total Roman dominating function | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Operation Research/Decision Theory | Combinatorics | 05C69 | Optimization | Signed total Roman domination number | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Journal Article
Discussiones Mathematicae. Graph Theory, ISSN 2083-5892, 2017, Volume 37, Issue 1, pp. 39 - 53
... ] of an edge in a graph is the set consisting of and all edges having a common end-vertex with . A signed Roman edge -dominating function (SRE DF... 
dominating function | domination number | 05C69 | signed Roman edge | Signed Roman edge k-dominating function | Signed Roman edge k-domination number | MATHEMATICS | signed Roman edge k-domination number | signed Roman edge k-dominating function
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 05/2019, Volume 39, Issue 2, pp. 455 - 472
.... The of is ) = ∑ ). The of a graph , denoted by ), is the minimum weight of a co-Roman dominating function... 
co-Roman domination number | co-Roman dominating function | Roman domination | 05C69 | MATHEMATICS
Journal Article
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2018, Volume 236, pp. 235 - 245
A perfect Roman dominating function on a graph G is a function f:V(G)→{0,1,2} satisfying the condition that every vertex u with f(u... 
Tree | Roman dominating function | Dominating set | Perfect dominating set | MATHEMATICS, APPLIED | GRAPHS
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 02/2019, Volume 39, Issue 1, pp. 67 - 79
Let k be a positive integer. A signed Roman k-dominating function (SRkDF) on a digraph D is a function f : V (D) → {−1, 1, 2... 
05C20 | signed Roman k-domination number | signed Roman k-dominating function | 05C69 | digraph | oriented tree | Signed Roman k-domination number | Signed Roman k-dominating function | Digraph | Oriented tree | MATHEMATICS
Journal Article
Taehan Suhakhoe hoebo, ISSN 1015-8634, 2013, Volume 50, Issue 2, pp. 469 - 473
...\S has at least k neighbors in S. A Roman k-dominating function on G is a function f : V -> {0, 1, 2} such that every vertex v with f... 
Dominating set | Correction | Roman k-dominating function | MATHEMATICS | correction | dominating set
Journal Article
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