Diberikan dua graf G dan H. Misalkan graf G mempunyai n titik dan m sisi. Operasi korona sisi (edge corona) dari dua graf G dan H, didefinisikan sebagai graf yang diperoleh dari satu salinan graf G dan m salinan graf H dan menghubungkan dua titik dari sisi ke-i pada graf G ke setiap titik dari salinan ke-i dari graf H. Penelitian ini bertujuan untuk menentukan bilangan dominasi dari graf hasil operasi korona sisi antara graf-graf tertentu dengan sebarang graf dan menentukan karakter graf yang bilangan dominasi hasil korona sisinya bernilai sama dengan bilangan dominasi graf induknya. Selain itu, pada penelitian ini juga dikaji nilai bilangan dominasi jarak-2 graf hasil operasi korona sisi beserta karakter graf yang mempunyai bilangan dominasi jarak-2 sama antara graf hasil operasi korona sisinya dengan graf induknya. Kata Kunci: Bilangan dominasi, bilangan dominasi jarak-2, korona sisi, himpunan dominasi.
Abstract. For a graph G = (V, E), a subset S of V is called a dominating set if every vertex x in V is either in S or adjacent to a vertex in S. The domination number ( ) is the minimum cardinality of the dominating set of G. The dominating set of G with a minimum cardinality denoted by ( )-set. Let G1, G2, ... , Gt be subgraphs of the graph G. If the union of all these subgraphs is G and their intersection is {v}, then we say that G is the vertex-amalgamation of G1, G2, ... , Gt at vertex v. Based on the membership of the common vertex v in the ( )-set, there exist three conditions to be considered. First, if v elements of every ( )-set, second if there is no ( )-set containing v, and third if either v is element of ( )-set for ≤ ≤ or there is no ( )-set containing v for < ≤ . For these three conditions, the domination number of G as vertex-amalgamation of G1, G2, ... , Gt at vertex v can be determined.
Intelligence education is used to determine the extent of learning achievement that can be achieved by individual, for adjustment in schools majors, and treatment to the educational subject. One of entrance examination for admission or continuing education and entry in workplace are through intelligence test. In problem solving, whether sooner or later, one of influence factor is the individualâ's intelligence. This research used class action study which consist of a series of four activities performed in a recurring cycle; (a) planning, (b) implementation, (c) observation, and (d) reflection. The result of this study are; there is an increase in Fiqh intelligence on the discussion of marriage law through the implementation of quantum learning in XI IPS 3 class of Madrasah Aliyah Negeri 1 Bojonegoro. The average value of intelligence of 78.33 raise into 81.75, so there is an increase in intelligence value of 3.42.
Kegiatan pengabdian masyarakat ini bertujuan untuk meningkatkan pengetahuan, kreativitas dan keterampilan masyarakat Dusun Gembes, Desa Slahung Kec. Slahung, Kabupaten Ponorogo untuk mengolah kunyit menjadi menjadi minuman siap seduh. Kegiatan dilaksanakan dua kali bertempat di rumah Bapak Kasun dan di rumah Bapak Kepala Desa dengan melibatkan 20 orang pada tahap pertama, dan 40 orang pada tahap kedua. Pada kegiatan ini digunakan metode penyuluhan interaktif dan demonstrasi dengan melalui tiga tahap, yakni tahap persiapan, pelaksanaan dan evaluasi. Hasil pelaksanaan kegiatan menunjukkan terjadinya peningkatan pengetahuan sasaran tentang kunyit serta pengolahannya menjadi minuman siap seduh. Sasaran juga tertarik untuk mengonsumsi dan memproduksi sendiri minuman rempah yang didemonstrasikan, dan akan mempraktekkan penjualan bubuk kunyit siap seduh untuk meningkatkan taraf ekonomi masyarakat. Masyarakat juga antusias untuk menyampaikan pengetahuan yang diperoleh kepada orang lain di Dusun Gembes.This community service activity aims to increase the knowledge, creativity and skills of the people of Gembes Hamlet, Slahung Village, Kec. Slahung, Ponorogo Regency to process turmeric into a ready-brewed drink. The activity was carried out twice at the house of Mr. Kasun and at the house of the Village Head, involving 20 people in the first stage, and 40 people in the second stage. In this activity, interactive counseling and demonstration methods are used through three stages, namely the preparation, implementation and evaluation stages. The results of the implementation of the activity showed an increase in target knowledge about turmeric and its processing into a brewed drink. are also interested in consuming and producing their own spice drinks which are demonstrated, and will practice selling turmeric powder ready to brew to improve the economic level of the community. The Gembes Village community is also enthusiastic about passing on their knowledge to others.
This community service activity aims to improve students’ understanding and skills in calculating especially the basic calculation operations, namely addition, subtraction, multiplication, and division. Calculating skills for elementary school students is very important as students prepare to understand mathematics material in general or in solving simple problems in everyday life. The target of this activity is elementary school students in grade 2 and grade 3, because when students are in grade 3 elementary school, this numeracy ability must be mastered by students. With the provision of materials using application software, students seem enthusiastic and enthusiastic in participating in the material and practice working on questions. This activity was carried out on Thursday, November 9, 2017 at Nogosari 03 SD Rambipuji Elementary School, Jember, attended by 80 students.AbstrakKegiatan pengabdian kepada masyarakat ini bertujuan meningkatkan pemahaman dan keterampilan siswa dalam berhitung khususnya terhadap operasi hitung dasar, yaitu penjumlahan, pengurangan, perkalian, dan pembagian. Keterampilan berhitung bagi siswa sekolah dasar sangatlah penting sebagai bekal siswa memahami materi matematika secara umum maupun dalam menyelesaikan permasalahan sederhana dalam kehidupan sehari-hari. Sasaran kegiatan ini adalah siswa sekolah dasar kelas 2 dan kelas 3, sebab saat siswa berada di kelas 3 sekolah dasar, kemampuan berhitung ini harus dikuasai oleh siswa. Dengan pemberian materi menggunakan software aplikasi, siswa tampak antusias dan semangat dalam mengikuti materi maupun latihan mengerjakan soal. Kegiatan ini terlaksana pada hari Kamis, 9 November 2017 bertempat di SD Negeri Nogosari 03 Rambipuji, Jember, diikuti oleh 80 siswa.
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