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mathematics (18) 18
mathematics, applied (11) 11
05c69 (10) 10
minimum weight (10) 10
mathematical functions (9) 9
graphs (8) 8
combinatorics (7) 7
digraph (7) 7
graph theory (6) 6
signed roman k-dominating function (6) 6
signed roman k-domination number (6) 6
05c20 (5) 5
computer science, interdisciplinary applications (5) 5
convex and discrete geometry (5) 5
mathematical modeling and industrial mathematics (5) 5
optimization (5) 5
roman domination (5) 5
signed total roman dominating function (5) 5
signed total roman domination number (5) 5
theory of computation (5) 5
directed graph (4) 4
numbers (4) 4
signed roman dominating function (4) 4
signed roman domination number (4) 4
domination (3) 3
double roman domination (3) 3
operation research/decision theory (3) 3
operations research & management science (3) 3
roman (3) 3
apexes (2) 2
combinatorial analysis (2) 2
domatic number (2) 2
engineering design (2) 2
integers (2) 2
mathematical analysis (2) 2
operations research/decision theory (2) 2
signed (2) 2
signed domination (2) 2
signed double roman domination (2) 2
signed roman [formula omitted]-dominating function (2) 2
signed roman [formula omitted]-domination number (2) 2
signed roman domination (2) 2
signed roman k -dominating function (2) 2
signed roman k -domination number (2) 2
signed total roman domatic number (2) 2
signed total roman k-dominating function (2) 2
signed total roman k-domination number (2) 2
texts (2) 2
trees (2) 2
twin signed roman dominating function (2) 2
twin signed roman domination number (2) 2
upper bounds (2) 2
angelos akotantos, winged saint john the baptist, first half of fifteenth century (1) 1
appearance of kavalariana donors and traditional look of religious frescoes - underlining cultural interaction in secular life (1) 1
appearance of kavalariana donors and traditional look of religious frescoes ‐ underlining cultural interaction in secular life (1) 1
applications of mathematics (1) 1
bipartite (1) 1
byzantine fresco painting - stylistically conservative in locus of ritual (1) 1
byzantine fresco painting ‐ stylistically conservative in locus of ritual (1) 1
complete (1) 1
computational complexity (1) 1
computer science (1) 1
corona (1) 1
d'annunzio, gabriele, italian writer and political adventurer (1) 1
daladier, edouard, french politician ‐ best remembered for signing, alongside neville chamberlain (1) 1
danton,georges ‐jacques, orator and leading politician ‐ during the french revolution of 1789 (1) 1
danubian principalities, term used by nineteenth‐century diplomats ‐ designating moldavia and wallachia (1) 1
darlan, jean françois ‐ head of the french navy (1) 1
dawes plan, attempt made in 1924 ‐ to resolve issues raised by franco‐belgian ruhr occupation, following germany's failure to pay the reparations (1) 1
dayton accord peace, deal negotiated in ohio ‐ november 1995 and signed at paris (1) 1
de gaulle, charles, french general and politician ‐ serving as first president (1) 1
digraph, signed roman dominating function, signed roman domination number, signed roman domatic number (1) 1
digraphs (1) 1
directed-graphs (1) 1
directory within the broader context ‐ of the french revolution of 1789 (1) 1
discharging (1) 1
djilas, milovan, ‐ djilas's increasing criticism of the oligarchical tendencies of all existing communist {practice had brought him into disfavor even at home (1) 1
dominating function (1) 1
dominating functions (1) 1
domination number (1) 1
eastern question the significance of this term, covering the international ramifications of the decline of the ottoman empire from the later eighteenth until the early twentieth century (1) 1
eastern rumelia became an administratively autonomous part of southern bulgaria (1) 1
economic and monetary union within the context of european integration (1) 1
eden, anthony, british prime minister (1) 1
eichmann,adolf, leading nazi administrator (1) 1
enosis greek word for “union” ‐ primary point of modern historical reference, been cyprus (1) 1
erfurt union, abortive attempt by prussia ‐ creating and dominating a new organization of german states, aftermath of revolutions of 1848–9 (1) 1
erhard, ludwig ‐ chancellor of the federal republic of germany (1) 1
ethnic cleansing, removal of ethnic, religious, or other cultural grouping (1) 1
european convention on human rights ‐ agreement signed by members of the council of europe in november 1950 (1) 1
graph (1) 1
information science (1) 1
interactions between two cultures in artistic terms - wall paintings and icons as media in late and post-byzantine periods (1) 1
interactions between two cultures in artistic terms ‐ wall paintings and icons as media in late and post‐byzantine periods (1) 1
ioannis pagomenos, saint george killing the dragon - scene from cycle of saint george in the nave (1) 1
ioannis pagomenos, saint george killing the dragon ‐ scene from cycle of saint george in the nave (1) 1
join (1) 1
k -domination (1) 1
k-domination (1) 1
late and post-byzantine art under venetian rule - frescoes versus icons and crete in the middle (1) 1
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Journal of Combinatorial Optimization, ISSN 1382-6905, 2/2014, Volume 27, Issue 2, pp. 241 - 255
.... The signed Roman domination number of G is the minimum weight of a SRDF in G. We present various lower and upper bounds on the signed Roman domination number of a graph... 
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, 9/2019, Volume 42, Issue 5, pp. 1907 - 1920
... ) . The double Roman domination number of a digraph D is the minimum weight of a DRDF on D. In this paper, we initiate the study of the double Roman domination of digraphs... 
05C20 | Nordhaus–Gaddum | Signed domination | Double Roman domination | Mathematics, general | Roman domination | Mathematics | Applications of Mathematics | Digraph | 05C69 | k -domination | k-domination | MATHEMATICS | NUMBERS | Nordhaus-Gaddum | Minimum weight | Mathematical functions | Graph theory
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 10/2015, Volume 30, Issue 3, pp. 456 - 467
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 10/2016, Volume 32, Issue 3, pp. 855 - 871
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 1/2016, Volume 31, Issue 1, pp. 333 - 346
...$$ G , is called the signed Roman edge domination number of $$G$$ G and is denoted by $$\gamma _{sR}'(G)$$ γ s R ′ ( G ) . In this note we initiate the study of the signed Roman edge domination in graphs and present... 
Convex and Discrete Geometry | Signed Roman dominating function | Signed Roman edge domination number | Mathematics | Theory of Computation | Mathematical Modeling and Industrial Mathematics | Operation Research/Decision Theory | Combinatorics | 05C69 | Signed Roman domination number | Signed Roman edge dominating function | Optimization | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 5/2016, Volume 32, Issue 3, pp. 1217 - 1227
... is $$w(f)=\sum _{v\in V(D)}f(v)$$ w ( f ) = ∑ v ∈ V ( D ) f ( v ) . The signed Roman k-domination number $$\gamma _{sR}^k(D)$$ γ s R k ( D... 
Signed Roman k -domination number | 05C20 | Mathematics | Engineering Design | Combinatorics | Digraph | Signed Roman k -dominating function | 05C69 | Signed Roman k-dominating function | Signed Roman k-domination number | Integers | Minimum weight | Mathematical analysis | Texts | Graphs | Roman | Graph theory | Combinatorial analysis
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 7/2016, Volume 32, Issue 1, pp. 299 - 317
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 11/2017, Volume 37, Issue 4, pp. 1039 - 1053
Journal Article
Discussiones Mathematicae. Graph Theory, ISSN 2083-5892, 2017, Volume 37, Issue 1, pp. 261 - 272
... is ) = ∑ ). The signed total Roman domination number ) of is the minimum weight of an STRDF on . In this paper we initiate the study of the signed total Roman domination number of digraphs, and we present different bounds... 
05C20 | signed total Roman dominating function | 05C69 | digraph | signed total Roman domination number | Digraph | Signed total Roman domination number | Signed total Roman dominating function | MATHEMATICS | GRAPHS
Journal Article
Discussiones Mathematicae. Graph Theory, ISSN 2083-5892, 2017, Volume 37, Issue 1, pp. 39 - 53
... for which ) = −1 is adjacent to at least one edge ′ for which ′) = 2. The minimum of the values ∑ ), taken over all signed Roman edge -dominating functions of is called the signed Roman edge -domination number of , and is denoted by γ... 
dominating function | domination number | 05C69 | signed Roman edge | Signed Roman edge k-dominating function | Signed Roman edge k-domination number | MATHEMATICS | signed Roman edge k-domination number | signed Roman edge k-dominating function
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 1/2016, Volume 32, Issue 1, pp. 175 - 190
... . The weight of an SRkDF $$f$$ f is $$w(f)=\sum _{v\in V(G)}f(v)$$ w ( f ) = ∑ v ∈ V ( G ) f ( v ) . The signed Roman $$k$$ k -domination number... 
Signed Roman k -domination number | Mathematics | Engineering Design | Combinatorics | Signed Roman k -dominating function | 05C69
Journal Article
Asian-European journal of mathematics, ISSN 1793-5571, 06/2018, Volume 11, Issue 3
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 02/2019, Volume 39, Issue 1, pp. 67 - 79
...). The signed Roman k-domination number γ (D) of a digraph D is the minimum weight of an SRkDF on D... 
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
Discrete Applied Mathematics, ISSN 0166-218X, 2019, Volume 257, pp. 1 - 11
.... The weight of an SDRDF f is ∑u∈V(G)f(u), the minimum weight of an SDRDF is the signed double Roman domination number γsdR(G) of G... 
Double Roman domination | Signed double Roman domination | Roman domination | MATHEMATICS, APPLIED | Minimum weight | Graphs | Mathematical functions | Trees (mathematics) | Apexes
Journal Article
AKCE International Journal of Graphs and Combinatorics, ISSN 0972-8600, 07/2020, pp. 1 - 19
In this work, we continue to survey what has been done on the Roman domination. More precisely, we will present in two sections several variations of Roman dominating functions as well as the signed version of some of... 
domination | variation of roman domination | roman domination | dominating functions | signed roman domination
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2017, Volume 233, pp. 175 - 186
.... The weight of f is ∑u∈V(G)f(u), the minimum weight of a signed Roman k-dominating function is the signed Roman k-domination number γsRk(G) of G... 
Signed roman 2-domination | Roman domination | Discharging | Torus graphs | Computational complexity | MATHEMATICS, APPLIED | DIGRAPHS | Computer science | Information science
Journal Article
Graphs and combinatorics, ISSN 0911-0119, 01/2016, Volume 32, Issue 1, pp. 175 - 190
.... The weight of an SRkDF f is w(f) = Sigma(v is an element of V(G)) f (v). The signed Roman k-domination number gamma(k)(SR) (G... 
MATHEMATICS | Signed Roman k-dominating function | Signed Roman k-domination number | Integers | Minimum weight | Mathematical analysis | Texts | Graphs | Roman | Combinatorial analysis
Journal Article
Discussiones Mathematicae. Graph Theory, ISSN 1234-3099, 2017, Volume 37, Issue 4, pp. 1027 - 1038
Let k ≥ 1 be an integer. A signed total Roman k-dominating function on a graph G is a function f : V (G) → {−1, 1, 2} such that Ʃ f(u) ≥ k for every v ∈ V (G), where N(v... 
signed total Roman k-domatic number | signed total Roman k-domination number | signed total Roman k-dominating function | Signed total Roman k-domatic number | Signed total Roman k-domination number | Signed total Roman k-dominating function | MATHEMATICS | DOMINATION
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 05/2015, Volume 186, Issue 1, pp. 98 - 105
Journal Article
Filomat, ISSN 0354-5180, 2019, Volume 33, Issue 1, pp. 121 - 134
.... The signed double Roman domination number gamma(sdR)(G) is the minimum weight of a SDRDF on G... 
MATHEMATICS | Double Roman domination | MATHEMATICS, APPLIED | signed double Roman domination
Journal Article
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