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Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 6/2019, Volume 43, Issue 3, pp. 1081 - 1088
...RESEARCH PAPER Trees with Double Roman Domination Number Twice the Domination Number Plus Two H. Abdollahzadeh Ahangar 1 • J. Amjadi 2 • M. Chellali 3... 
Domination | Trees | Engineering | Life Sciences, general | Chemistry/Food Science, general | Materials Science, general | Double Roman domination | Roman domination | Earth Sciences, general | Engineering, general | Physics, general | 05C69 | MULTIDISCIPLINARY SCIENCES
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 13, pp. 4297 - 4304
For two vertices u and v of a graph G, the set I[u, v] consists of all vertices lying on some u v geodesic in G. If S is a set of vertices of G, then I[S] is... 
Total geodetic number | MATHEMATICS | MATHEMATICS, APPLIED | Geodetic set | Geodetic number | Total geosetic set
Journal Article
Applicable analysis and discrete mathematics, ISSN 1452-8630, 10/2016, Volume 10, Issue 2, pp. 501 - 517
A Roman dominating function on a graph 𝐺 is a function 𝑓: 𝑉 (𝐺) → {0, 1, 2} satisfying the condition that every vertex 𝑢 for which 𝑓(𝑢) = 0 is adjacent... 
Leaves | Literature | Mathematical theorems | Cardinality | Double stars | Discrete mathematics | Mathematical functions | Graph theory | Mathematical minima | Vertices | Roman domination | Total Roman domination | Total domination | Domina-tion | Domination | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 10/2017, Volume 40, Issue 4, pp. 1443 - 1454
...Bull. Malays. Math. Sci. Soc. (2017) 40:1443–1454 DOI 10.1007/s40840-015-0141-1 Mixed Roman Domination in Graphs H. Abdollahzadeh Ahangar 1 · Teresa W. Haynes... 
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
Discussiones Mathematicae. Graph Theory, ISSN 1234-3099, 2019, Volume 39, Issue 4, pp. 787 - 803
A total Roman dominating function on a graph G is a labeling f : V(G) ->{0, 1, 2} such that every vertex with label 0 has a neighbor with label 2 and the... 
MATHEMATICS | total Roman reinforcement number | NUMBER | total Roman domination number | TOTAL DOMINATION | 05C69
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 1/2016, Volume 31, Issue 1, pp. 333 - 346
Journal Article
Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 2, pp. 293 - 303
A dominating set of a graph 𝐺 which intersects every independent set of maximum cardinality in 𝐺 is called an independent transversal dominating set. The... 
Integers | Cardinality | Mathematical sets | Polynomials | Graph theory | Vertices | Realizability | Domination | Transversal | Independent transversal domination | Independence | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | MAXIMUM STABLE SETS
Journal Article
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2017, Volume 232, pp. 1 - 7
A double Roman dominating function (DRDF) on a graph G=(V,E) is a function f:V(G)→{0,1,2,3} having the property that if f(v)=0, then vertex v has at least two... 
Roman [formula omitted]-domination | Double Roman domination | Roman domination | Roman {2}-domination | MATHEMATICS, APPLIED | NUMBER
Journal Article
Filomat, ISSN 0354-5180, 1/2015, Volume 29, Issue 6, pp. 1361 - 1368
For two vertices 𝑢 and 𝑣 of a graph 𝐺, the set 𝐼[𝑢, 𝑣] consists of all vertices lying on some 𝑢 - 𝑣 geodesic in 𝐺. If 𝑆 is a set of vertices of 𝐺,... 
Integers | Discrete mathematics | Numbers | Graph theory | Geodesy | Vertices | Geodetic set | Geodetic number | MATHEMATICS | MATHEMATICS, APPLIED | geodetic number | geodetic set
Journal Article
AKCE International Journal of Graphs and Combinatorics, ISSN 0972-8600, 08/2016, Volume 13, Issue 2, pp. 157 - 164
A 2-rainbow dominating function (2RDF) of a graph G is a function f from the vertex set V(G) to the set of all subsets of the set {1,2} such that for any... 
Rainbow domination | Maximal domination | Maximal rainbow domination
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 2/2014, Volume 27, Issue 2, pp. 241 - 255
...J Comb Optim (2014) 27:241–255 DOI 10.1007/s10878-012-9500-0 Signed Roman domination in graphs H. Abdollahzadeh Ahangar · Michael A. Henning · Christian... 
Convex and Discrete Geometry | Operations Research/Decision Theory | Signed domination | Roman domination | Signed Roman domination | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Combinatorics | Optimization | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 7/2015, Volume 38, Issue 3, pp. 1143 - 1155
...Bull. Malays. Math. Sci. Soc. (2015) 38:1143–1155 DOI 10.1007/s40840-014-0068-y The Restrained Geodetic Number of a Graph H. Abdollahzadeh Ahangar · V... 
Restrained geodetic set | Geodetic set | 05C12 | Mathematics, general | Mathematics | Applications of Mathematics | Restrained geodetic number | MATHEMATICS
Journal Article
Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 9/2016, Volume 40, Issue 3, pp. 157 - 163
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2019, Volume 257, pp. 1 - 11
A signed double Roman dominating function (SDRDF) on a graph G=(V,E) is a function f:V(G)→{−1,1,2,3} such that (i) every vertex v with f(v)=−1 is adjacent to... 
Double Roman domination | Signed double Roman domination | Roman domination | MATHEMATICS, APPLIED | Minimum weight | Graphs | Mathematical functions | Trees (mathematics) | Apexes
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 2020, Volume 364, p. 124617
An outer independent double Roman dominating function (OIDRDF) of a graph G is a function h from V(G) to {0, 1, 2, 3... 
Double roman domination | Roman domination | Outer independent double roman domination | MATHEMATICS, APPLIED
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) on D is a labeling f : V(D) -> {0, 1, 2} such that every... 
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
AKCE International Journal of Graphs and Combinatorics, ISSN 0972-8600, 12/2017, Volume 14, Issue 3, pp. 242 - 250
Given two vertices u and v of a nontrivial connected graph G, the set I[u,v] consists all vertices lying on some u−v geodesic in G, including u and v. For... 
Forcing total restrained geodetic number | Total restrained geodetic number | Total geodetic | Geodetic | total geodetic | total restrained geodetic number | geodetic | forcing total restrained geodetic number
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 07/2020
Journal Article
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