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.
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.
Teknologi informasi kini telah merambah hampir setiap sendi dalam kehidupan masyarakat tanpa terkecuali pada bidang pendidikan. Bidang pendidikan menjadi hal yang menarik untuk dikembangkan dalam kurun lima tahun terakhir. Salah satunya yaitu dengan metode belajar dalam jaringan (daring). Penelitian ini bertujuan untuk mengetahui respon dari penerapan sistem pembelajaran berbasis E-learning pada mahasiswa berkebutuhan khusus (Difabel). Metode penelitian yang dipakai ialah Research and Development (RnD). Sedangkan metode analisa datanya menggunakan menggunakan ELR. Hasil dari penelitian ini diperoleh penilaian dari validator terkait desain konten E-learning sebesar 4,52. Sedangkan penilaian observer dari segi desain E-learning sebesar 4, materi pembelajaran sebesar 3,7 dan penilaian dari mahasiswa berkebutuhan khusus sebesar 4,3. Dapat diketahui bahwa faktor inovasi media pembelajaran yang perlu ditingkatkan.
Bulog is a state-owned public company engaged in food logistics. There are about 18 Bulog warehouses in East Java Province with an uneven distribution. Because the scope of Bulog’s business includes logistics or warehousing, surveys and pest eradication, provision of plastic bags, transportation business, food commodity trading and retail business, there must be good coordination between regional sub-divisions and warehouse complexes. In this study, the minimum regional sub-division recommendations in the East Java region were determined using the theory of connected domination number in graphs. The location of the warehouse complex is described as the vertex and adjacent warehouse complexes are connected by edges. In this research, we also determine the connected domination number of unicyclic graph and vertex amalgamation operations for several classes of graphs.
One of the topics in graph theory that is interesting and developed continuously is metric dimension. It has some new variation concepts, such as star metric dimension. The order set of Z={z1,z2,…,zn }⊆V(G) called star resolving set of connected graph G if Z is Star Graph and for every vertex in G has different representation to the set Z. The representation is expressed as the distance d(u,z), it is the shortest path from vertex u to z for every u,z∈V(G). Star basis of a graph is the smallest cardinality of star resolving set. The number of vertex in star basis is called star metric dimension of G which denoted by Sdim(G). The purpose of this article is to determine the characteristic of star metric dimension and the value of star metric dimension of some classes of graphs. The method which is used in this study is library research. Some of the results of this research are complete graph has Sdim(Kn )=n-1, for n≥3, bipartite graph K(2,n) has Sdim (K(2,n) )=n, for n≥3. Besides complete bipartite graph hasn’t star metric dimension or for m,n≥3 or it can said that Sdim (K(m,n) )=0. Another graph, that is Fan graph has Sdim (Fn )=2 for 2≤n≤5 and for n≥6 Sdim (Fn )=(2n+3)/5.
Taman Safari Prigen dengan luas 350 hektar merupakan kebun binatang yang mempunyai konsep alam terbuka, sehingga pengunjung harus menggunakan mobil pribadi, mobil wisata, atau tramp yang disediakan. Mengingat begitu luas dan banyaknya spesies yang terdapat di Taman Safari tentu saja rute yang dilalui pengunjung juga sangat panjang. Petugas keamanan biasanya stand by menggunakan mobil jib pada setiap jalan atau tikungan. Oleh karena itu, perlu adanya inovasi untuk mengoptimasi penempatan petugas dan armada sehingga lebih meminimalisir jumlah petugas dengan tanpa mengurangi fungsi atau fasilitas keamanan yang seharusnya. Misalnya satu petugas dengan satu armada dapat mendominasi atau bertugas terhadap keamanan pada dua wiliyah terdekat yang dapat dijangkau. Hal ini sesuai dengan teori himpunan dominasi jarak dua pada suatu graf. Graf yang akan digunakan dalam penelitian ini merupakan representasi dari peta lokasi kebun binatang Taman Safari Prigen dengan vertex merupakan posisi/lokasi petugas keamanan sedangkan sisi merupakan jalan yang dapat dilalui mobil untuk jalur pengunjung serta fasilitas keamanan. Selain itu, implementasi teori dari himpunan dominasi juga akan diteliti pada beberapa graf yaitu graf platonik yang dioperasikan shackle titik dengan graf yang sama. Graf Platonik terdiri atas graf tetrahedral, octahedral, kubik, icosahedral dan dodecahedral. Penelitian diawali dengan penentuan representasi graf hasil operasi, himpunan simpul elemen himpunan dominasi jarak dua untuk kemudian ditentukan banyaknya bilangan dominasi jarak dua. Setelah itu, teori yang telah digunakan dapat diaplikasikan untuk menentukan banyaknya pos pengamanan yang optimal yang dapat ditempatkan di kebun binatang Taman Safari Prigen.
Glasses / mugs and plates have a function as tableware, it also has a function as souvenirs that we can adjust to the desired character and look attractive, so that it has high value to sell. The method used to make souvenirs of glasses / mugs and plates is by means of a screen printing technique with digital printing. Screen printing techniques with digital printing on glasses / mugs and plates are done by a press machine, so that they can be decorated by using names, images according to the desired order. The development of souvenirs of glasses / mugs and plates in Jember is still rarely found. It can be proved, in each shop there are only a few which sell it, but are not produced by themselves. This has become an attractive and beneficial business opportunity for the economic development of the Handycraft Group and the Sekar Kartini Women's Cooperative members whose businesses have been declining recently. Thus, the specific target to be achieved is the establishment of a business unit for souvenirs of character glasses / mugs and plates by using appropriate technology, namely screen-printing presses and digital printing, and marketing management with the help of information technology (social media).
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.
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