## Pelabelan Lokal Titik Graf Hasil Diagram Lattice Subgrup Zn

##### Abstract

A group is a system that contains a set and a binary operation satisfying four axioms, i.e., the
set is closed under binary operation, associative, has an identity element, and each element
has an inverse. Since the group is essentially a set and the set itself has subsets, so if the
binary operation is applied to its subsets then it satisfies the group's four axioms, the subsets
with the binary operation are called subgroups. The group and subgroups further form a
partial ordering relation. Partial ordering relation is a relation that has reflexive,
antisymmetric, and transitive properties. Since the connection of subgroups of a group is
partial ordering relation, it can be drawn a lattice diagram. The set of integers modulo n, ℤ
,
is a group under addition modulo n. If the subgroups of ℤ
are represented as vertex and
relations that is connecting two subgroups are represented as edgean , then a graph is
obtained. Furthermore, the vertex in this graph can be labeled by their subgroup elements. In this research, we get the result about the characteristic of the lattice diagram of ℤ𝒏
and the
existence of vertex local labeling.

##### Collections

- LSP-Jurnal Ilmiah Dosen [4114]

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