Rainbow domination in graphs

From MaRDI portal
Publication:928382

DOI10.11650/twjm/1500602498zbMath1163.05046OpenAlexW1557513888MaRDI QIDQ928382

Michael A. Henning, Boštjan Brešar, Douglas F. Rall

Publication date: 18 June 2008

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500602498




Related Items (93)

Roman \(\{2 \}\)-dominationAveraging 2-rainbow domination and Roman dominationOn the outer independent 2-rainbow domination number of Cartesian products of paths and cyclesA sharp upper bound on the independent 2-rainbow domination in graphs with minimum degree at least twoUnnamed ItemA note on the bounds of Roman domination numbersA characterization of trees with equal Roman $\{2\}$-domination and Roman domination numbersRainbow domination numbers on graphs with given radiusOn the k-rainbow domination in graphs with bounded tree-widthAlgorithmic aspects of the independent 2-rainbow domination number and independent Roman \(\{2\}\)-domination numberMaximal 2-rainbow domination number of a graphOn the complexity of reinforcement in graphsOn the rainbow domination number of digraphsBounds on the 2-rainbow domination number of graphsUpper bound on 3-rainbow domination in graphs with minimum degree 2Further results on maximal rainbow domination numberThe 2-rainbow domination of Sierpiński graphs and extended Sierpiński graphsRelating 2-rainbow domination to Roman dominationSolving the minimum M-dominating set problem by a continuous optimization approach based on DC programming and DCADomination parameters with number 2: interrelations and algorithmic consequencesVizing's conjecture for graphs with domination number 3 -- a new proofRainbow domination numbers of generalized Petersen graphsThe \(k\)-rainbow bondage number of a graphSome rainbow problems in graphs have complexity equivalent to satisfiability problemsIndependent rainbow domination of graphsUnnamed ItemRoman \(k\)-domination: hardness, approximation and parameterized resultsThe Outer-Paired Domination of Graphs\([1,2\)-sets and \([1,2]\)-total sets in trees with algorithms] ⋮ Independent Roman \(\{2 \}\)-domination in graphsOn the 2-rainbow domination stable graphsRainbow domination regular graphs that are not vertex transitiveWeak \(\{2\}\)-domination number of Cartesian products of cycles\(k\)-rainbow domatic numbersOn bondage numbers of graphs: a survey with some commentsRainbow reinforcement numbers in digraphsUnnamed ItemUnnamed ItemRainbow domination and related problems on strongly chordal graphsRainbow domination in the lexicographic product of graphsA tight upper bound for 2-rainbow domination in generalized Petersen graphs2-rainbow domination number of \(C_n\square C_5\)On 2-rainbow domination of generalized Petersen graphsTotal 2-rainbow domination numbers of treesGeneral upper bounds on independent \(k\)-rainbow dominationOn the 2-rainbow domination in graphs2-rainbow domination number of Cartesian products: \(C_{n}\square C_{3}\) and \(C_{n}\square C_{5}\)On Cartesian products having a minimum dominating set that is a box or a stairwayOn rainbow domination numbers of graphsThe Cartesian product of cycles with small 2-rainbow domination numberEfficient enumeration of dominating sets for sparse graphsThe \(k\)-rainbow reinforcement numbers in graphs2-rainbow domination in generalized petersen graphs \(P(n,3)\)Rainbow domination on treesComplexity of \(k\)-rainbow independent domination and some results on the lexicographic product of graphsNote on 2-rainbow domination and Roman domination in graphsNordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graphSome results on Vizing's conjecture and related problemsItalian domination in the Cartesian product of pathsThe 2-rainbow bondage number in generalized Petersen graphsUnnamed ItemItalian domination of Cartesian products of directed cyclesGraphs with large total 2-rainbow domination numberStrong equality between the 2-rainbow domination and independent 2-rainbow domination numbers in treesBounding the \(k\)-rainbow total domination numberUnicyclic graphs with strong equality between the 2-rainbow domination and independent 2-rainbow domination numbersA note on the 2-rainbow bondage numbers in graphsOn the rainbow domination subdivision numbers in graphsTotal domination in generalized prisms and a new domination invariantUnnamed ItemRoman \(\{k\}\)-domination in trees and complexity results for some classes of graphsBounds on weak Roman and 2-rainbow domination numbersUnnamed ItemRoman Domination in GraphsRainbow Domination in GraphsEfficient \(( t , r )\) broadcast dominating sets of the triangular lattice2-rainbow domination of generalized Petersen graphs \(P(n,2)\)Total $k$-Rainbow domination numbers in graphsOuter independent rainbow dominating functions in graphsOn 2-rainbow domination number of functigraph and its complementTotal domination in digraphsConstructive characterizations concerning weak Roman domination in treesOn \(k\)-rainbow domination in regular graphsRainbow edge domination numbers in graphsComputing strong Roman domination of trees and unicyclic graphs in linear time2-rainbow domination stability of graphsOn \(k\)-rainbow independent domination in graphsTotal k-rainbow reinforcement number in graphsThe restrained k-rainbow reinforcement number of graphsThe \(k\)-rainbow bondage number of a digraphGeneral bounds on rainbow domination numbersOn computing secure domination of treesRestrained k-rainbow reinforcement number in graphs




This page was built for publication: Rainbow domination in graphs