eprintid: 75891
rev_number: 11
eprint_status: archive
userid: 12460
dir: disk0/00/07/58/91
datestamp: 2026-04-01 01:42:26
lastmod: 2026-04-01 01:42:26
status_changed: 2026-04-01 01:42:26
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Jaqueline Widad Zuha, NIM.: 22106010057
title: DIMENSI METRIK LOKAL GRAF ULAR SEGITIGA DAN GRAF HASIL OPERASI KORONA ANTARA GRAF ULAR SEGITIGA DENGAN GRAF LINTASAN ORDE DUA
ispublished: pub
subjects: 515.6
divisions: jur_mat
full_text_status: restricted
keywords: Dimensi Metrik, Dimensi Metrik Lokal, Graf Ular Segitiga, Operasi
Korona
note: ddy Rahmadi, M.Sc. dan Arif Munandar, M.Sc.
abstract: Let G be a connected graph with vertex set V (G) and edge set E(G). In
graph theory, the concept of distance is also known, defined as the length of the
shortest path between two vertices. The utilization of this concept of distance gives
rise to new concepts, namely the metric dimension and the local metric dimension.
Furthermore, let W � V (G) = fw1;w2; : : : ;wkg be an ordered set with k elements,
theb the representation of a vertex v 2 V (G) with respect to W is defined as
r(vjW) = (d(v;w1); d(v;w2); : : : ; d(v;wk)): The set W is called a local resolving
set of the graph G if for every pair of adjacent vertices u; v 2 V (G), it holds that
r(ujW) 6= r(vjW). Moreover, the minimum cardinality of such a set W is called
the local metric dimension of G, denoted by dim`(G). The purpose of this study is
to determine the metric dimension and the local metric dimension of the triangular
snake graph Tn, as well as the local metric dimension of the corona product of the
triangular snake graph with the path graph of order two. This research employs
a literature study method with an approach based on graph structure and distance
analysis. The results show that the metric dimension and the local metric dimension
of the triangular snake graph are equal to 2. In addition, the local metric dimension
of Tn � P2 is 2n + 1, while that of P2 � Tn is n + 3 for odd n and n + 2 for even n.
date: 2026-02-06
date_type: published
pages: 121
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Jaqueline Widad Zuha, NIM.: 22106010057  (2026) DIMENSI METRIK LOKAL GRAF ULAR SEGITIGA DAN GRAF HASIL OPERASI KORONA ANTARA GRAF ULAR SEGITIGA DENGAN GRAF LINTASAN ORDE DUA.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/75891/1/22106010057_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/75891/2/22106010057_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf