Janakiram, B. and Davis, M. A. and Soner, N. D.
(2009)
*Distance neighbourhood domination in graphs.*
National Academy Science Letters-India, 32 (9-10).
pp. 287-290.
ISSN 0250-541X

## Abstract

A set S of vertices in a graph G = (V, E) is said to be a k-distance neighbourhood dominating set, if G = U(v is an element of S) < N(k)v] >, The k-distance neighbourhood domination number is the minimum cardinality of a k-distance neighbourhood dominating set of G and is denoted by n(k)(G). In this communication, besides obtaining some bounds on n(k)(G), some interesting results on n(k)(G), characterizations of k-distance neighbourhood dominating set and minimal k-distance neighbourhood dominating set are obtained.

Item Type: | Article |
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Uncontrolled Keywords: | Graph; Domination; Distance neighbourhood domination in graphs |

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Users 19 not found. |

Date Deposited: | 31 Aug 2019 05:21 |

Last Modified: | 31 Aug 2019 05:21 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/7418 |

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