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Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2015, Volume 338, Issue 11, pp. 2095 - 2104
We consider two general frameworks for multiple domination, which are called 〈r,s〉-domination and parametric domination. They generalise and unify... 
Threshold functions | Total [formula omitted]-domination | Upper bounds | [formula omitted]-domination | Parametric domination | [formula omitted]-tuple domination | k-domination | k-tuple domination | { k } -domination | (r, s) -domination | Total k-domination | MATHEMATICS | NUMBER | < r, s >-domination | BOUNDS | k}-domination | GRAPHS
Journal Article
Discrete mathematics, ISSN 0012-365X, 2009, Volume 309, Issue 1, pp. 32 - 63
A set S of vertices in a graph G is a total dominating set of G if every vertex of G is adjacent to some vertex in S . In this paper, we offer a survey of... 
Total domination number | Total domination | INTERVAL | NUMBER | PAIRED-DOMINATION | SIGNED TOTAL DOMINATION | MATHEMATICS | TREES | EQUAL TOTAL DOMINATION | PARALLEL ALGORITHMS | COMPLEXITY | PLANAR GRAPHS | TOTAL RESTRAINED DOMINATION
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 02/2018, Volume 38, Issue 1, pp. 301 - 317
Let = ( ) be a graph; a set ⊆ is a total -dominating set if every vertex ∈ has at least neighbors in . The total -domination number ) is the minimum... 
total | domination | 05C69 | tuple total domination | tuple domination | K-tuple total domination | K-tuple domination | K-domination | Total k-domination | k-domination | MATHEMATICS | k-tuple total domination | total k-domination | k-tuple domination
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 03/2013, Volume 161, Issue 4-5, pp. 604 - 611
We consider four different types of multiple domination and provide new improved upper bounds for the k- and k-tuple domination numbers. They generalize two... 
[formula omitted]-rate domination | Randomized algorithm | [formula omitted]-domination | [formula omitted]-tuple domination | k-domination | α-domination | α-rate domination | k-tuple domination | MATHEMATICS, APPLIED | NUMBER | APPROXIMATION ALGORITHMS | SET | alpha-domination | alpha-rate domination | Algorithms | Networks | Graphs | Upper bounds | Mathematical analysis
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 04/2013, Volume 161, Issue 6, pp. 750 - 767
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 11/2017, Volume 231, pp. 44 - 59
Based on the history that the Emperor Constantine decreed that any undefended place (with no legions) of the Roman Empire must be protected by a “stronger”... 
Domination | Roman domination | Strong Roman domination | Roman domination number | MATHEMATICS, APPLIED | EMPIRE | STRATEGY
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 10/2010, Volume 87, Issue 13, pp. 2915 - 2924
Journal Article
2010, ISBN 0199579415, Volume 9780199579419, x, 273
In all societies, past and present, many persons and groups have been subject to domination. Properly understood, domination is a great evil, the suffering of... 
Social control | Power (Social sciences) | Social justice | Philosophy | Domination | Justice | Arbitrary power | Social conventions | Freedom (liberty) | Dependency | Civic republicanism | Power
Book
Applied Mathematics and Computation, ISSN 0096-3003, 09/2018, Volume 333, pp. 353 - 361
In this paper, we define a new domination invariant on a graph G, which coincides with the ordinary independent domination number of the generalized prism... 
Domination | Nordhaus–Gaddum | k-rainbow independent domination
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 11/2016, Volume 36, Issue 4, pp. 877 - 887
We show that the decision problem for p-reinforcement, p-total rein- forcement, total restrained reinforcement, and k-rainbow reinforcement are NP-hard for... 
p- domination | NP-hard | domination | total restrained domination | reinforcement | total domination | k-rainbow domination | Domination | p-domination | Total domination | Total restrained domination | Reinforcement | MATHEMATICS | NUMBER | 2-RAINBOW DOMINATION | BOUNDS | BONDAGE
Journal Article
2017, First Scribner hardcover edition., ISBN 9781501163401, x, 702 pages
In a future so real and near it might be now, something happens when women go to sleep: they become shrouded in a cocoon-like gauze. If they are awakened, if... 
Demonology | Women | Epidemics | Male domination (Social structure) | Horror stories
Book
Discrete Applied Mathematics, ISSN 0166-218X, 2019, Volume 263, pp. 257 - 270
A vertex v of a graph G=(V,E) is said to be undefended with respect to a function f:V⟶{0,1,2} if f(v)=0 and f(u)=0 for every vertex u adjacent to v. We call... 
Lexicographic product | Domination in graphs | Total domination | Weak roman domination | Double total domination | MATHEMATICS, APPLIED | Minimum weight | Graphs | Mathematical functions | Apexes | Invariants
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 2019, Volume 93, Issue 6, pp. 1085 - 1109
Domination game (Brešar et al. in SIAM J Discrete Math 24:979–991, 2010) and total domination game (Henning et al. in Graphs Comb 31:1453–1462 (2015) are by... 
91A43 | Z-domination game | Grundy domination number | Analysis | L-domination game | Mathematics | Combinatorics | 05C69 | Total domination game | 05C57 | Domination game | Graphs | Invariants | Games
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 2/2018, Volume 56, Issue 1, pp. 73 - 91
Journal Article
Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, ISSN 1232-9274, 2019, Volume 39, Issue 6, pp. 815 - 827
A set \(D\) of vertices of a graph \(G=(V_G,E_G)\) is a dominating set of \(G\) if every vertex in \(V_G-D\) is adjacent to at least one vertex in \(D\). The... 
certified domination | domination
Journal Article
Discrete mathematics and theoretical computer science, ISSN 1365-8050, 2018, Volume 20, Issue 2
In this paper, we study a parameter that is squeezed between arguably the two important domination parameters, namely the domination number, $\gamma(G)$, and... 
Domination | Tree | Semitotal domination
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 02/2018, Volume 38, Issue 1, pp. 203 - 215
A dominating set in a graph is a set of vertices such that every vertex in ( ) \ is adjacent to at least one vertex in , and the domination number of is the... 
domination | connected domination | clique domination | complement | 05C69 | restrained domination | total domination | Domination | Connected domination | Complement | Clique domination | Total domination | Restrained domination | MATHEMATICS | NUMBER
Journal Article