Judul: Coloring Covid-19 Map Based on Fuzzy Directed Graph
Abstrak: Pewarnaan graf merupakan salah satu aplikasi dalam teori graf dengan mewarnai verteks suatu graf dimana verteks yang adjacent diberi warna yang berbeda. Salah satu aplikasi pewarnaan graf adalah pewarnaan peta. Pada karya ilmiah ini dibahas pewarnaan peta kasus COVID-19 di Indonesia menggunakan graf berarah fuzzy. Tiap provinsi bertindak sebagai verteks dan sisi berarah yang terhubung antara dua verteks ada jika terdapat riwayat perjalanan antara satu provinsi ke provinsi lain. Pewarnaan graf berarah fuzzy mengikuti algoritma Mahapatra. Dari kajian ini ditunjukkan bahwa indeks kromatik dari hasil pewarnaan graf berarah fuzzy pada kasus COVID-19 di Indonesia terdiri dari dua warna dasar minimum yang dibutuhkan graf setelah seluruh verteks diwarnai dengan nilai minimum 1,463., Graph coloring is one of the applications in graph theory by coloring the vertices of a graph where adjacent vertices are given different colors. One of the applications of graph coloring is map coloring. In this manuscript, the coloring of maps of COVID-19 cases in Indonesia using directed fuzzy graphs. Each province acts as a vertex and there exists a directed edge connected between two vertices if there is a history of travel between one province to another. The coloring of the directed fuzzy graph is based on Mahapatra's algorithm. This study shows that the chromatic index of the directed fuzzy graph coloring result in the case of COVID-19 in Indonesia consists of two minimum base colors required by the graph after all vertices are colored and the minimum value is 1,463.
Keyword: chromatic number, directed fuzzy graph, graph coloring, map coloring

Judul: Sifat-sifat Pewarnaan Graf dan Pewarnaan Peta Provinsi Jawa Barat
Abstrak: Pewarnaan simpul pada graf adalah mewarnai simpul pada suatu graf dimana simpul yang saling adjacent diwarnai dengan warna yang berbeda. Pewarnaan simpul pada graf dapat diaplikasikan pada proses pewarnaan peta. Pada karya ilmiah ini dibahas sifat-sifat pewarnaan graf berdasarkan beberapa teorema yang salah satunya dikenal sebagai teorema Brooks. Untuk suatu ilustrasi, teorema Brooks juga diterapkan pada proses pewarnaan peta provinsi Jawa Barat berdasarkan algoritma Greedy. Dari kajian ini menunjukan bahwa graf hasil konversi peta provinsi Jawa Barat merupakan graf terhubung yang tak lengkap dan memiliki derajat simpul maksimal bernilai 7 (tujuh). Selanjutnya, peta provinsi Jawa Barat dapat diwarnai dengan empat warna, sesuai dengan teorema brooks bahwa wilayah yang bertetangga pada peta diwarnai dengan warna yang berbeda., The coloring of the vertices of a graph is coloring the vertices of the graph where adjacent vertices are colored using different colors. The coloring of vertices of a graph can be applied to the map coloring process. In this manuscript, properties of graph coloring are discussed based on theorems which one of those called as Brooks theorem. For an illustration, Brooks theorem is also applied to the map coloring of West Java province using the Greedy algorithm. This study shows that the resulting graph from the map conversion of West Java province is an incomplete connected graph and has a maximum vertex degree of 7 (seven). Furthermore, The map of West Java province can be colored with four colors, comply to Brooks theorem where neighboring regions on the map are colored in different colors.
Keyword: Brooks theorem, chromatic number, greedy algorithm, graph coloring, maximum vertex degree

Judul: Kompetensi Perkembangan Oosit Domba pada Suhu dan Waktu Penyimpanan Ovarium yang Berbeda
Abstrak: The present study was conducted to investigate the effects of storage time and temperature of sheep ovaries on nuclear maturation of oocyte and in vitro fertilization rate of oocytes. The ovaries were stored in physiological saline for 2- 4 h, 5-7 h and 8-10 h at 27-28°C, 36-37°C and 4°C respectively. There was no difference between the proportions of oocytes that underwent maturation to metaphase II when collected from ovaries stored at 27-28°C and 36-37°C for 2-7 h of slaughter (P>0.05). However, the percentages of oocytes from ovaries stored at 4°C were significantly lower than those of oocytes stored at higher temperature (69.23%, and 70.83%, 45.65%, for 27-28°, 36-37° and 4° C at 2-4 h, respectively; 59.61%, and 64,58%, 36.36%, for 27-28°, 36-37° and 4° C at 5-7 h, respectively) (P<0.05). The proportion of oocytes underwent meiosis to MII were significanly decreased when the ovary stored at 27-28°C and 36-37°C for 8-10 h but not in oocytes collected from ovaries stored at 4°C (24.37%, 7.84% and 45.23%, respectively) (P<0.05). There was no difference between the proportions of fertilization when collected from ovaries stored at 27-28°C, 36-37°C and 4°C for 2-7 h of slaughter (53%, 66,66% and 63%, resperctively) (P>0.05). Same phenomena showed for fertilization rate of oocyte that the ovaries storage for 5-7 h. However fertilization rate decrease when storage for 8-10 h. The prensentage of fertilization rate were 9,8%, 22,22%, 12,24% respectively for 27-28°C, 36-37°C dan 4°C. Our finding indicate that the storage of ovaries at 27°C-28°C, 36-37°C for 5-7 h is effective for maintaining the developmental competence of sheep oocytes compare with 4°C.
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