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Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2019, Volume 266, pp. 76 - 84
If A is an independent set of a graph G such that the vertices in A have pairwise different degrees, then we call A an irregular independent set ofG. If D is a... 
Irregular dominating set | Irregular independent set | MATHEMATICS, APPLIED | Apexes | Order parameters | Graph theory
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2015, Volume 338, Issue 8, pp. 1379 - 1384
.... Thus the independent domination number is now known for all grids. 
Independent domination | Grid graph | MATHEMATICS | NUMBERS | GRAPHS | Algorithms
Journal Article
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 G... 
Domination | Nordhaus–Gaddum | k-rainbow independent domination
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 3/2019, Volume 42, Issue 2, pp. 417 - 435
.... The weight of a $$t\mathrm{RDF}$$ t RDF g of a graph F is the value $$w(g) =\sum _{v \in V(F)}|g(v)|$$ w ( g ) = ∑ v ∈ V ( F ) | g ( v ) | . The independent t-rainbow domination number... 
05C76 | Independent rainbow domination | 05C85 | Domination number | Mathematics, general | Rainbow domination | Mathematics | NP-complete | Applications of Mathematics | 05C69 | 05C15 | MATHEMATICS
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 05/2015, Volume 35, Issue 2, pp. 283 - 300
Eternal and m-eternal domination are concerned with using mobile guards to protect a graph against infinite sequences of attacks at vertices... 
eternal dominating set | clique cover | dominating set | independent set | Independent set | Eternal dominating set | Dominating set | Clique cover | MATHEMATICS | GRAPHS
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 11/2017, Volume 700, pp. 63 - 74
Weighted independent domination is an NP-hard graph problem, which remains computationally intractable in many restricted graph classes... 
Independent domination | Polynomial-time algorithm | SETS | FINITELY DEFINED CLASSES | COMPUTER SCIENCE, THEORY & METHODS | ALGORITHMS | GRAPHS
Journal Article
Discrete mathematics, ISSN 0012-365X, 2013, Volume 313, Issue 7, pp. 839 - 854
... in S. In this paper, we offer a survey of selected recent results on independent domination in graphs. 
Independent dominating | PERFECT GRAPHS | MATHEMATICS | WELL-COVERED GRAPHS | NUMBER | TREES | REGULAR GRAPHS | SETS | IRREDUNDANCE | EQUAL DOMINATION | PARAMETERS | BIPARTITE GRAPHS
Journal Article
Discrete Optimization, ISSN 1572-5286, 08/2017, Volume 25, pp. 1 - 5
The independent vertex–edge domination number and the upper non-enclaving number of a graph G are denoted by ive(G) and Ψ(G), respectively. Boutrig et al... 
Counterexample | Upper non-enclaving number | Independent vertex–edge domination number | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Independent vertex edge domination number
Journal Article
Journal of combinatorial optimization, ISSN 1573-2886, 2012, Volume 26, Issue 3, pp. 608 - 619
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 06/2017, Volume 67, Issue 2, pp. 533 - 536
Let gamma(G) and i(G) be the domination number and the independent domination number of G, respectively... 
independent domination | domination | MATHEMATICS | Computer science
Journal Article
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2014, Volume 178, pp. 157 - 159
We let γ(G) and i(G) denote the domination number and the independent domination number of G, respectively... 
Independent domination number | Maximum degree | Domination number | MATHEMATICS, APPLIED
Journal Article
Mathematics (Basel), ISSN 2227-7390, 2019, Volume 7, Issue 9, p. 820
... of S . A dominating set S is independent if any pair of vertices in S is not adjacent. The minimum cardinality of an independent dominating set on a graph G is called the independent domination number i ( G... 
MATHEMATICS | unicyclic graph | SEMITOTAL DOMINATION | ROMAN DOMINATION | tree | independent domination | stable graph
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 3/2016, Volume 32, Issue 2, pp. 773 - 776
... $$S$$ S has a neighbor in $$S$$ S ; the domination number $$\gamma (G)$$ γ ( G ) is the minimum size of such a... 
Cubic graph | Domination number | Mathematics | Engineering Design | 3-regular | Combinatorics | Independent domination number | MATHEMATICS | REGULAR GRAPHS | Integers | Texts | Graphs | Combinatorial analysis
Journal Article
ARS COMBINATORIA, ISSN 0381-7032, 07/2017, Volume 134, pp. 193 - 207
We initiate the study of double outer-independent domination in graphs. A vertex of a graph is said to dominate itself and all of... 
MATHEMATICS | NUMBER | domination | TREES | double domination | double outer-independent domination
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 07/2020, Volume 281, pp. 81 - 95
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 10/2016, Volume 52, Issue 1, pp. 515 - 528
...$$ V - D is dominated by at least two vertices in D. The double domination number of G is the minimum fuzzy cardinality of all double domination set of G and is denoted by $$\gamma _{dd} (G)$$ γ d d ( G... 
03E72 | Computational Mathematics and Numerical Analysis | Mathematics | Theory of Computation | Isolated vertex | Domination | Cut node | Mathematics of Computing | Intuitionistic fuzzy graph | Appl.Mathematics/Computational Methods of Engineering | Double domination number | Independent set | Maximum and minimum degree | End node | Order and complement | 03F55 | Fuzzy logic | Studies | Graph theory | Mathematical analysis | Fuzzy sets | Parameters | Computation | Texts | Graphs | Mathematical models | Fuzzy
Journal Article