# BILANGAN DOMINASI DAN BILANGAN KEBEBASAN GRAF BIPARTIT KUBIK

**Abstract**

Let a graph , is a pair of sets *V *vertices and set *E *edges. Let be a subset of . If each vertex of is adjacent to atleast one vertex of , then is called a dominating set in . The domination number of a graph denoted as is the minimum cardinality of a dominating set in . A set of vertices in a graph is said to be an independent set if no two vertices in the set are adjacent. the number of vertices in the largest independent set of a graph is called the independence number and denoted by . In this final project, we consider the relation between independent set and dominating set of finite simple graphs. In particular, discuss them for some cubic bipartite graphs and find that the domination number is less than of the number of vertices and independence number is half of the number of vertices.

**Graphical Abstract**

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**Jurnal Matematika, Fakultas Sains dan Matematika, Universitas Diponegoro.**Jl. Prof. Sudarto Tembalang. telp/fax (024)76480922 Semarang 50275