Optimasi Penempatan Petugas Keamanan Di Taman Safari Prigen Pasuruan Menggunakan Teori Himpunan Dominasi

Ayyasy

2022

JaMES

Misalkan G adalah graf terhubung dan S_2 merupakan himpunan dominasi jarak dua dari graf G. S_2 didefinisikan sebagai subset dari V(G) yang sedemikian hingga titik-titik pada G yang tidak terhubung dengan S_2 memiliki jarak maksimal 2 terhadap S_2. Kardinalitas minimum dari S_2 dinotasikan dengan Gamma_2(G) dan disebut bilangan dominasi. Pada artikel ini, ditentukan bilangan dominasi jarak dua dari hasil operasi shackle titik dan sisi pada graf Bipartit lengkap dan graf Tripartit lengkap, yaitu Shack (K_(m,n),v,k) m>=2, n>=3, Shack(K_(m,n),e,k) m>=2, n>=3, Shack(K_(m,n,r),v,k) m,n,r>=2, dan Shack(K_(m,n,r),e,k) m,n,r>=2. Implementasi konsep ini digunakan untuk menentukan jumlah minimum pos pangkalan ojek di Kabupaten Jember. Sumbersari, Patrang dan Kaliwates masing-masing direpresentasikan ke dalam graf yaitu (Sb-Graf), (Pt-Graf), dan (Kl-Graf) dengan ketentuan warung atau kedai, persimpangan jalan, dan masjid direpresentasikan sebagai titik dan jarak antar lokasi tersebut digambarkan sebagai sisi. Hasil akhir dari penelitian ini diperoleh jumlah minimum pos pangkalan ojek, yaitu 8 pos (Sumbersari), 7 (Patrang), dan 5 (Kaliwates) dari 169 titik yang tersebar di ketiga Kecamatan tersebut. Dari jumlah tersebut diimplementasikan menggunakan aplikasi ARCGIS yang berbasis SIG (Sistem Informasi Geografis) pada ketiga kecamatan tersebut.

Section: Pendahuluanunclassified

Penerapan Teori Bilangan Dominasi Jarak Dua Pada Pemilihan Lokasi Pangkal Ojek Online

Umilasari

Ayyasy

2022

JaMES

“…Number theory of domination has been studied by previous researchers, such as: (Umilasari et al, 2019) with the title Optimizing the Placement of Security Officers at the Prigen Safari Park in Pasuruan Using the Domination Association Theory. Aside from that (Poniman & Fran, 2020) with the title eccentric domination number connected to sunlet graph and bishop graph.…”

mentioning

confidence: 99%

The Four-Distance Domination Number in the Ladder and Star Graphs Amalgamation Result and Applications

Oktavianto

Muharom

2022

JTAM

The study purpose is to determine the four-distance domination number in the amalgamation operation graph, namely the vertex amalgamation result graph of ladder graph Amal(L_m,v,n) with m≥2 and n≥2 and the vertex amalgamation result graph of a star graph with its name Amal(S_m,v,n) with m≥2 and n>2. In addition, the application use the Four-distance domination number on Jember Regency Covid-19 taskforce post-placement. The Importanceof this research, namely the optimal distribution of the Covid-19 task force post. It is not just doing mask surgeries every day on the streets. The optimal referred to can be in the form of integrated handlers in each sub-district or points that are considered to need fast handling so that coordination between posts can respond and immediately identify cases of transmission and potential infections due to interactions with patients who are already positive. The methods used in this research are pattern recognition and axiomatic deductive methods. The results of this study include:γ_4 (Amal(S_m,v,n))=1; for m≥2 and n≥2, γ_4 (Amal(L_m,v,n))={■(1; for 2≤m≤4 @⌊m/8⌋n+1 for m≡0,1,2,3,4 (mod 8)@⌈m/8⌉n; for others m ) ┤ and based on the Indonesia Country, Jember Regency Map, 2 Covid 19 task-force posts are needed to be placed in Balung and Kalisat sub-districts using the Four-distance domination number application.

Metric dimension of vertex shackle operation result graph on wheel and star graphs

Umilasari

Hidayat

2022

J. Phys.: Conf. Ser.

Self Cite

The ordered set W = (w1, w2, w3,…, wk } of vertex set on graph G and a vertex v in G the it form k-vector ordered r(v|W) = (d(v, w1 ), d(v, w2 ),…, (v, wk )) is set of metric coordinate by v to W. W can be said as resolving set of G if every coordinate of W are not same. The number of resolving set or basis of G which minimum is called metric dimension and written by dim(G). Shackle is one technique to construct a graph by attach the vertex or edge between the same graph then it make linkage vertex and edge vertex that every graph which constructed be denoted by Shack(G, v, t) and Shack(G, e, t) means a shackle graph consist of t copy with t > 2. In this study case, we determine metric dimension of vertex shackle products graphs of wheel graph Shack(Wm, v, n) for m > 3, n > 2 and vertex shackle products of star graph Shack(Sm, v, n) for m > 3 and n > 2. In addition, we also determined the implementation of metric dimension theory by finding the coordinate of drone as navigation for traffic monitoring in Jember Regency.