DIMENSI PARTISI GRAF LENGKAP

Authors

  • Vivi Ramdhani Institut Agama Islam Negeri Batusangkar

DOI:

https://doi.org/10.31958/js.v11i2.1610

Keywords:

Complete Graph, Partition Dimension, Resolving Partition

Abstract

Resolving partition is part of graph theory. Resolving partition is needed to obtain partition dimension. So far it has not been discussed regarding resolving partition of complete graphs. For this reason, this article explains the resolving partition of a complete graph.Given a connected graph ┬áand ┬áis a subset of ┬á┬áwrite . Suppose there is ┬áthen the distance between ┬áto ┬áis denoted in the form of . Then, suppose there is a partitioned set of , write , then we can obtain a ┬árepresentation of ┬áin the form of ┬áThe partition set ┬áis called a resolving partition if the representation of each ┬áÔêê ┬áwith ┬áis different. The minimum cardinality of the resolving -partition against ┬áis called the partition dimension of , denoted by pd (). To get the partition dimension of a complete graph, first we find the resolving partition og the graph, resolving partition ┬áorde ┬áAfter that, to assist in obtaining the partition dimensions of complete graph,┬áwe explained that if is is a connected graph then ┬áBased on these steps, finally obtained that the partition dimension of the complete graph, namely

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Published

2019-12-30

Issue

Vol. 11 No. 2 (2019)

Section

Artikel

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Copyright (c) 2019 Vivi Ramdhani

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