Discussiones Mathematicae Graph Theory 31(3) (2011)
517-531

doi: 10.7151/dmgt.1562

Gerd H. Fricke Morehead State University Morehead, KY 40351, USA | Sandra M. Hedetniemi Stephen T. Hedetniemi Clemson University Clemson, SC 29634, USA | Kevin R. Hutson Furman University Greenville, SC 29613, USA |

**Keywords:** dominating sets, gamma graphs

**2010 Mathematics Subject Classification:** 05C69.

[1] | E.J. Cockayne, S.E. Goodman and S.T. Hedetniemi, A linear algorithm for the domination number of a tree, Inform. Process. Lett. 4 (1975) 41--44, doi: 10.1016/0020-0190(75)90011-3. |

[2] | E.J. Cockayne and S.T. Hedetniemi, Towards a theory of domination in graphs, Networks 7 (1977) 247--261, doi: 10.1002/net.3230070305. |

[3] | E. Connelly, S.T. Hedetniemi and K.R. Hutson, A Note on , submitted.γ-Graphs |

[4] | T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of Domination in Graphs (Marcel Dekker, Inc. New York, 1998). |

[5] | T.W. Haynes, S.T. Hedetniemi and P.J. Slater, eds, Domination in Graphs: Advanced Topics (Marcel Dekker, New York, 1998). |

Received 4 June 2010

Revised 3 August 2010

Accepted 3 August 2010