Varieties of Roman domination II

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 signe...

[1]  Vladimir Samodivkin,et al.  Signed Roman domination in graphs , 2014, J. Comb. Optim..

[2]  Seyed Mahmoud Sheikholeslami,et al.  The Distance Roman Domination Numbers of Graphs , 2013, Discuss. Math. Graph Theory.

[3]  Seyed Mahmoud Sheikholeslami,et al.  Global Roman Domination in Trees , 2015, Graphs Comb..

[4]  Lutz Volkmann,et al.  Unique response Roman domination in graphs , 2011, Discret. Appl. Math..

[5]  Lutz Volkmann.  On the signed total Roman domination and domatic numbers of graphs , 2016, Discret. Appl. Math..

[6]  Peter J. Slater,et al.  Roman dominating influence parameters , 2007, Discret. Math..

[7]  Seyed Mahmoud Sheikholeslami,et al.  Signed double Roman k-domination in graphs , 2019, Australas. J Comb..

[8]  S. M. Sheikholeslami,et al.  Bounds on signed total double Roman domination , 2020 .

[9]  Seyed Mahmoud Sheikholeslami,et al.  Signed mixed Roman domination numbers in graphs , 2016, J. Comb. Optim..

[10]  J. Amjadi,et al.  On the signed Roman k-domination in graphs , 2019, Quaestiones Mathematicae.

[11]  Dorota Kuziak,et al.  Outer-independent total Roman domination in graphs , 2019, Discret. Appl. Math..

[12]  Michael A. Henning,et al.  Signed Roman k-domination in trees , 2015, Discret. Appl. Math..

[13]  Vladimir Samodivkin,et al.  Outer independent Roman dominating functions in graphs , 2017, Int. J. Comput. Math..

[14]  Vladimir Samodivkin,et al.  Some progress on the mixed roman domination in graphs , 2021, RAIRO Oper. Res..

[15]  D. Mojdeh,et al.  On the Independent Double Roman Domination in Graphs , 2019, Bulletin of the Iranian Mathematical Society.

[16]  Seyed Mahmoud Sheikholeslami,et al.  On the double Roman domination in graphs , 2017, Discret. Appl. Math..

[17]  P. Roushini Leely Pushpam,et al.  Global Roman domination in graphs , 2016, Discret. Appl. Math..

[18]  Peter J. Slater.  Domination and location in acyclic graphs , 1987, Networks.

[19]  Teresa W. Haynes,et al.  Double Roman domination , 2016, Discret. Appl. Math..

[20]  Xiaosong Zhang,et al.  Computational Complexity of Outer-Independent Total and Total Roman Domination Numbers in Trees , 2018, IEEE Access.

[21]  Nader Jafari Rad,et al.  Bounds on the Locating Roman Domination Number in Trees , 2018, Discuss. Math. Graph Theory.

[22]  Mustapha Chellali,et al.  Signed double roman domination of graphs , 2019, Filomat.

[23]  Stephen T. Hedetniemi,et al.  Roman domination in graphs , 2004, Discret. Math..

[24]  Nader Jafari Rad,et al.  Graphs with Large Hop Roman Domination Number , 2019, Comput. Sci. J. Moldova.

[25]  Lutz Volkmann.  Signed total Roman domination in graphs , 2016, J. Comb. Optim..

[26]  J. Amjadi,et al.  Signed Roman edge domination numbers in graphs , 2016, J. Comb. Optim..

[27]  Teresa W. Haynes,et al.  Roman {2}-domination , 2016, Discret. Appl. Math..

[28]  Teresa W. Haynes,et al.  Mixed Roman Domination in Graphs , 2017 .

[29]  F. Harary,et al.  On the corona of two graphs , 1970 .

[30]  Michael A. Henning,et al.  Signed Roman $$k$$k-Domination in Graphs , 2016, Graphs Comb..

[31]  Ismael González Yero,et al.  A Constructive Characterization of Vertex Cover Roman Trees , 2021, Discuss. Math. Graph Theory.

[32]  S. M. Sheikholeslami,et al.  Independent Double Roman Domination in Graphs , 2019, AKCE Int. J. Graphs Comb..

[34]  Mustapha Chellali,et al.  Outer independent double Roman domination , 2020, Appl. Math. Comput..

[35]  Vladimir Samodivkin,et al.  On maximal Roman domination in graphs , 2016, Int. J. Comput. Math..

[36]  Seyed Mahmoud Sheikholeslami,et al.  Signed Total Roman Edge Domination In Graphs , 2017, Discuss. Math. Graph Theory.