SIMBOLON, MELISA (2016) *BILANGAN DOMINASI PERSEKITARAN TOTAL PADA GRAF KHUSUS.* Undergraduate thesis, UNDIP.

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## Abstract

In this paper is discussed about exact value of neighbourhood total domination number in graphs. Let graph . A set of be a subset of is called a dominating set if each vertex of is adjacent to at least one vertex of is graph . The minimum cardinality of dominating set in is called domination number and denoted . Let be a subset of , set is called a neighbourhood set if ⋃ 〈 〉 with 〈 〉 the induced subgraph of by . A dominating set of a graph is called neighbourhood total dominating set (ntdset) if the induced subgraph 〈 〉 contains no isolated vertices. The minimum cardinality of a ntd-set of is called the neighbourhood total domination number of and is denoted by . Further be obtained the exact value in path graphs, cycle graphs, tree graphs, star graphs, complete bipartite graphs, wheel graphs, ladder graphs, m graphs, and s graphs. Keywords : Dominating set, domination number, neighbourhood set, neighbourhood total domination set, neighbourhood total domination number.

Item Type: | Thesis (Undergraduate) |
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Subjects: | Q Science > QA Mathematics |

ID Code: | 84277 |

Deposited By: | Admin Departemen Matematika |

Deposited On: | 14 Jun 2022 08:53 |

Last Modified: | 14 Jun 2022 08:53 |

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