2024
New bounds on the outer-independent total double Roman domination number.
Discret. Math. Algorithms Appl., May, 2024
Roman [1,2]-domination of graphs.
Appl. Math. Comput., May, 2024
Bounds on the global double Roman domination number in graphs.
Discuss. Math. Graph Theory, 2024
Outer independent total double Italian domination number.
Comput. Sci. J. Moldova, 2024
Quasi total double Roman domination in graphs.
AKCE Int. J. Graphs Comb., 2024
Independent <i>k</i> -rainbow bondage number of graphs.
AKCE Int. J. Graphs Comb., 2024
2023
Restrained {2}-domination in graphs.
RAIRO Oper. Res., September, 2023
Restrained Italian bondage number in graphs.
Discret. Math. Algorithms Appl., July, 2023
Graphs with small or large Roman {3}-domination number.
RAIRO Oper. Res., May, 2023
Independent Roman bondage of graphs.
RAIRO Oper. Res., March, 2023
Quasi-total Roman reinforcement in graphs.
AKCE Int. J. Graphs Comb., January, 2023
Hop total Roman domination in graphs.
AKCE Int. J. Graphs Comb., January, 2023
Bounds on the total double Roman domination number of graphs.
Discuss. Math. Graph Theory, 2023
Total Italian domatic number of graphs.
Comput. Sci. J. Moldova, 2023
Restrained condition on double Roman dominating functions.
Appl. Math. Comput., 2023
On [ <i>k</i> ] -Roman domination in graphs.
AKCE Int. J. Graphs Comb., 2023
Restrained Italian reinforcement number in graphs.
AKCE Int. J. Graphs Comb., 2023
2022
Further results on independent double roman trees.
AKCE Int. J. Graphs Comb., September, 2022
An improved upper bound on the independent double Roman domination number of trees.
AKCE Int. J. Graphs Comb., September, 2022
The spectral radius of signless Laplacian matrix and sum-connectivity index of graphs.
AKCE Int. J. Graphs Comb., September, 2022
On [<i>k</i>]-Roman domination subdivision number of graphs.
AKCE Int. J. Graphs Comb., September, 2022
Outer independent signed double Roman domination.
J. Appl. Math. Comput., April, 2022
Nordhaus-Gaddum type inequalities on the total Italian domination number in graphs.
RAIRO Oper. Res., 2022
Strong equality of Roman and perfect Roman Domination in trees.
RAIRO Oper. Res., 2022
A proof of a conjecture on the paired-domination subdivision number.
Graphs Comb., 2022
Double Roman Domination in Graphs with Minimum Degree at Least Two and No C<sub>5</sub>-cycle.
Graphs Comb., 2022
Lower and upper bounds on independent double Roman domination in trees.
Electron. J. Graph Theory Appl., 2022
The Roman domatic problem in graphs and digraphs: a survey.
Discuss. Math. Graph Theory, 2022
Total Roman 2-dominating functions in graphs.
Discuss. Math. Graph Theory, 2022
The minus total k-domination numbers in graphs.
Discret. Math. Algorithms Appl., 2022
Cubic graphs have paired-domination number at most four-seventh of their orders.
Discret. Math., 2022
Global triple Roman dominating function.
Discret. Appl. Math., 2022
Maximal double Roman domination in graphs.
Appl. Math. Comput., 2022
Note on the domination number of graphs with forbidden cycles of lengths not divisible by 3.
Australas. J Comb., 2022
2021
Nordhaus-Gaddum type results for connected and total domination.
RAIRO Oper. Res., 2021
Some progress on the mixed roman domination in graphs.
RAIRO Oper. Res., 2021
Domination, independent domination number and 2-independence number in trees.
Discuss. Math. Graph Theory, 2021
Total 2-rainbow domination numbers in trees.
Discuss. Math. Graph Theory, 2021
Total k-rainbow reinforcement number in graphs.
Discret. Math. Algorithms Appl., 2021
New upper bounds for the forgotten index among bicyclic graphs.
CoRR, 2021
Triple Roman domination in graphs.
Appl. Math. Comput., 2021
On a conjecture concerning total domination subdivision number in graphs.
AKCE Int. J. Graphs Comb., 2021
2020
On the Outer-Independent Double Roman Domination of Graphs.
Frontiers Appl. Math. Stat., 2020
Signed total double Roman k-domination in graphs.
Discret. Math. Algorithms Appl., 2020
Bounds on the signed total Roman 2-domination in graphs.
Discret. Math. Algorithms Appl., 2020
A characterization of perfect Roman trees.
Discret. Appl. Math., 2020
A proof of a conjecture on the differential of a subcubic graph.
Discret. Appl. Math., 2020
Total k-rainbow domination subdivision number in graphs.
Comput. Sci. J. Moldova, 2020
A sharp upper bound on the independent 2-rainbow domination in graphs with minimum degree at least two.
Comput. Sci. J. Moldova, 2020
Outer-Convex Dominating Set in the Corona of Graphs as Encryption Key Generator.
Complex., 2020
Outer independent double Roman domination.
Appl. Math. Comput., 2020
Independent double Roman domination in graphs.
AKCE Int. J. Graphs Comb., 2020
Varieties of Roman domination II.
AKCE Int. J. Graphs Comb., 2020
2019
Bounds for signed double Roman <i>k</i>-domination in trees.
RAIRO Oper. Res., 2019
Trees with equal Roman {2}-domination number and independent Roman {2}-domination number.
RAIRO Oper. Res., 2019
On two conjectures concerning total domination subdivision number in graphs.
J. Comb. Optim., 2019
On the co-Roman domination in graphs.
Discuss. Math. Graph Theory, 2019
On the total Roman domination in trees.
Discuss. Math. Graph Theory, 2019
Total Roman reinforcement in graphs.
Discuss. Math. Graph Theory, 2019
An improved upper bound on the double Roman domination number of graphs with minimum degree at least two.
Discret. Appl. Math., 2019
Signed double Roman domination in graphs.
Discret. Appl. Math., 2019
On two open problems concerning weak Roman domination in trees.
Australas. J Comb., 2019
Changing and Unchanging 2-Rainbow Independent Domination.
IEEE Access, 2019
On the Total Double Roman Domination.
IEEE Access, 2019
Italian Reinforcement Number in Graphs.
IEEE Access, 2019
Outer-Independent Italian Domination in Graphs.
IEEE Access, 2019
2018
Nordhaus-Gaddum bounds for total Roman domination.
J. Comb. Optim., 2018
An upper bound on the double Roman domination number.
J. Comb. Optim., 2018
The smallest harmonic index of trees with given maximum degree.
Discuss. Math. Graph Theory, 2018
Eternal <i>m</i>-security bondage numbers in graphs.
Discuss. Math. Graph Theory, 2018
Independent Roman domination and 2-independence in trees.
Discret. Math. Algorithms Appl., 2018
The Domination Complexity and Related Extremal Values of Large 3D Torus.
Complex., 2018
Twin signed total domination numbers in directed graphs.
Ars Comb., 2018
Signed double Roman k-domination in graphs.
Australas. J Comb., 2018
Independent Roman Domination Stable and Vertex-Critical Graphs.
IEEE Access, 2018
The Rainbow Restrained Domination in Torus Network.
Proceedings of the International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery, 2018
2017
Roman game domination number of a graph.
J. Comb. Optim., 2017
A sufficient condition for large rainbow domination number.
Int. J. Comput. Math. Comput. Syst. Theory, 2017
Signed Roman edge <i>k</i>-domination in graphs.
Discuss. Math. Graph Theory, 2017
Signed total Roman edge domination in graphs.
Discuss. Math. Graph Theory, 2017
Global total Roman domination in graphs.
Discret. Math. Algorithms Appl., 2017
The k-rainbow reinforcement numbers in graphs.
Discret. Appl. Math., 2017
On the strong Roman domination number of graphs.
Discret. Appl. Math., 2017
On the double Roman domination in graphs.
Discret. Appl. Math., 2017
2016
Signed Roman edge domination numbers in graphs.
J. Comb. Optim., 2016
Signed mixed Roman domination numbers in graphs.
J. Comb. Optim., 2016
On the nonnegative signed domination numbers in graphs.
Electron. J. Graph Theory Appl., 2016
A new graph associated to a commutative ring.
Discret. Math. Algorithms Appl., 2016
Signed (j, k)-domatic number of graphs.
Ars Comb., 2016
Rainbow restrained domination numbers in graphs.
Ars Comb., 2016
On the rainbow restrained domination number.
Ars Comb., 2016
Maximal 2-rainbow domination number of a graph.
AKCE Int. J. Graphs Comb., 2016
2015
Signed Roman domination in digraphs.
J. Comb. Optim., 2015
Game domination subdivision number of a graph.
J. Comb. Optim., 2015
Global Roman Domination in Trees.
Graphs Comb., 2015
The signed Roman domatic number of a digraph.
Electron. J. Graph Theory Appl., 2015
The <i>k</i>-rainbow bondage number of a digraph.
Discuss. Math. Graph Theory, 2015
Signed star (j, k)-domatic numbers of digraphs.
Discret. Math. Algorithms Appl., 2015
Game total domination subdivision number of a graph.
Discret. Math. Algorithms Appl., 2015
Signed k-domatic numbers of graphs.
Ars Comb., 2015
2014
On the total outer-connected domination in graphs.
J. Comb. Optim., 2014
The k-rainbow bondage number of a graph.
Discret. Appl. Math., 2014
2013
The total domination subdivision number in graphs with no induced 3-cycle and 5-cycle.
J. Comb. Optim., 2013
On the outer-connected domination in graphs.
J. Comb. Optim., 2013
The distance Roman domination numbers of graphs.
Discuss. Math. Graph Theory, 2013
Total outer-Connected domination subdivision numbers in graphs.
Discret. Math. Algorithms Appl., 2013
On the Roman bondage Number of a Graph.
Discret. Math. Algorithms Appl., 2013
A note on the minus edge domination number in graphs.
Ars Comb., 2013
Signed edge k-subdomination numbers in graphs.
Ars Comb., 2013
Roman domination subdivision number of a graph and its complement.
Ars Comb., 2013
2012
The total {k}-domatic number of a graph.
J. Comb. Optim., 2012
Connected Domination Number of a Graph and its Complement.
Graphs Comb., 2012
The total {<i>k</i>}-domatic number of digraphs.
Discuss. Math. Graph Theory, 2012
The <i>k</i>-rainbow domatic number of a graph.
Discuss. Math. Graph Theory, 2012
Signed total {k}-domination and {k}-Domatic numbers of Graphs.
Discret. Math. Algorithms Appl., 2012
Signed edge majority total domination numbers in graphs.
Ars Comb., 2012
2011
Bounding the total domination subdivision number of a graph in terms of its order.
J. Comb. Optim., 2011
The Signed Bad numbers in Graphs.
Discret. Math. Algorithms Appl., 2011
Signed star k-domatic number of a graph.
Contributions Discret. Math., 2011
An upper bound for total domination subdivision numbers.
Ars Comb., 2011
Nordhaus-Gaddum bounds on the k-rainbow domatic number of a graph.
Appl. Math. Lett., 2011
2010
Proof of a conjecture on game domination.
J. Graph Theory, 2010
On the total domination subdivision number in some classes of graphs.
J. Comb. Optim., 2010
Signed (b, k)-Edge Covers in Graphs.
Intell. Inf. Manag., 2010
Matchings and total domination subdivision number in graphs with few induced 4-cycles.
Discuss. Math. Graph Theory, 2010
Signed star domatic number of a graph.
Discret. Appl. Math., 2010
Inequalities of Nordhaus-Gaddum type for doubly connected domination number.
Discret. Appl. Math., 2010
The Roman domatic number of a graph.
Appl. Math. Lett., 2010
2009
An Upper Bound for the Total Domination Subdivision Number of a Graph.
Graphs Comb., 2009
Paired-Domination Subdivision Numbers of Graphs.
Graphs Comb., 2009
A New Bound on the Total Domination Subdivision Number.
Graphs Comb., 2009
Lower bounds on the signed domination numbers of directed graphs.
Discret. Math., 2009
On the Roman domination number of a graph.
Discret. Math., 2009
Domination subdivision numbers of trees.
Discret. Math., 2009
Signed Edge Domination Numbers In Trees.
Ars Comb., 2009
2008
Some Notes on Signed Edge Domination in Graphs.
Graphs Comb., 2008
Disproof of a Conjecture on the Subdivision Domination Number of a Graph.
Graphs Comb., 2008
Total Domination in K5- and K6-covered graphs.
Discret. Math. Theor. Comput. Sci., 2008
Paired-domination number of a graph and its complement.
Discret. Math., 2008
Total domination and total domination subdivision number of a graph and its complement.
Discret. Math., 2008
Signed star k-subdomination numbers in graphs.
Discret. Appl. Math., 2008
Signed edge majority domination numbers in graphs.
Australas. J Comb., 2008
Trees whose domination subdivision number is one.
Australas. J Comb., 2008
2007
Characterization of double domination subdivision number of trees.
Discret. Appl. Math., 2007
The Forcing Domination Numbers Of Some Graphs.
Ars Comb., 2007
On perfect double dominating sets in grids cylinders and tori.
Australas. J Comb., 2007
Total domination and total domination subdivision numbers.
Australas. J Comb., 2007
2004
Families of 2-critical sets for dihedral groups.
Australas. J Comb., 2004
