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: Game Coloring Number Suatu Graf
Abstrak: Pewarnaan pada graf terdiri atas tiga macam pewarnaan yaitu pewarnaan simpul, pewamaan sisi, dan pewarnaan bidang. Coloring game merupakan salah satu permainan pewarnaan simpul yang dilakukan oleh dua orang pemain. Game chromatic number dan game coloring number merupakan nilai yang dapat dicari dari permainan coloring game. Dalam penelitian ini dibuktikan tiga teorema. Pertama, jika terdapat graf sembarang maka nilai game coloring number graf tersebut lebih besar atau sama dengan nilai game chromatic number-nya. Kedua, untuk sembarang graf dengan dua subgraf, nilai game coloring number graf kurang dari atau sama dengan nilai game coloring number subgraf pertama ditambah dengan nilai maximum degree subgraf kedua. Ketiga, untuk sembarang graf yang memiliki subgraf, nilai game coloring number subgraf kurang dari atau sama dengan nilai dari game coloring number graf tersebut.
Keyword: Coloring, Coloring game, Game chromatic number, Game coloring number, Graph theory, Teori graf, Permainan graf, Teorema

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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