eprintid: 71757
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/07/17/57
datestamp: 2025-07-11 04:12:27
lastmod: 2025-07-11 04:12:27
status_changed: 2025-07-11 04:12:27
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Lailatul Ulla Safitri, NIM.: 21106010001
title: DIMENSI METRIK SISI PADA GRAF THETA SERAGAM
ispublished: pub
subjects: 560
divisions: jur_mat
full_text_status: restricted
keywords: Jarak, Dimensi metrik sisi, himpunan pembeda, Graf Theta
note: Muchammad Abrori, S.Si., M.Kom., dan Deddy Rahmadi, M.Sc.
abstract: Let G = (V,E) be a simple connected graph with a vertex set V (G) and an
edge set E(G). In this graph, the concept of an edge metric generator is introduced,
which is a subset of vertices We ⊆ V (G) such that each edge in the graph has a
unique distance representation with respect to We. In other words, for every pair of
distinct edges, there exists at least one vertex in We that has a different distance to
each edge. The minimum cardinality of an edge metric generator is called the edge
metric dimension of the graph. This study adopts a structural graph approach and
the concept of distances between edges and vertices to determine the edge metric
dimension of a graph. The focus is on theta graphs, which consist of multiple paths
connecting two terminal vertices. A uniform theta graph is denoted by θ(n,m),
where all m paths connecting the two terminals have the same number of vertices,
n, in each path.
date: 2025-05-26
date_type: published
pages: 143
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Lailatul Ulla Safitri, NIM.: 21106010001  (2025) DIMENSI METRIK SISI PADA GRAF THETA SERAGAM.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/71757/1/21106010001_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/71757/2/21106010001_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf