Judul: Sintasan dan Pertumbuhan Larva Udang Vaname yang Diberi Probiotik Pseudoalteromonas 1UB dengan Dosis Berbeda Melalui Artemia sp.
Abstrak: This study aimed to determine the effectiveness of Pseudoaltermonas 1UB probiotics bioencapsulated in Artemia sp. on the survival and growth of white shrimp larvae. The life stage of white shrimp larvae used in this study was mysis 1 with average body weight of 0,56±0,05 mg/larvae and reared in glass jars containing 2 L of seawaters with density 30 larvae/L. This study consisted of four treatments i.e. K (control treatment, without probiotics bioencapsulated in Artemia sp.), A (Pseudoalteromonas probiotics 1UBR 104 CFU/mL bioencapsulated in Artemia sp.), B (Pseudoalteromonas 1UBR probiotics 106 CFU/mL bioencapsulated in Artemia sp.), and C (Pseudoalteromonas probiotics 1UBR 108 CFU/mL bioencapsulated in Artemia sp.). The density of Artemia sp. at bioencapsulation was as much 100 individuals/mL at the stage of instar 1-2. The result showed that the administration of probiotic Pseudoalteromonas 1UBR of 106 CFU/mL and 108 CFU/mL increased the survival rate white shrimp larvae of 19,13% and 46,10%, respectively. The growth rate was not significant compare to that of control, i.e. 23,11±2,87% and 21,25±2,07%, respectively. The best result was found in C treatment with survival rate was 94,92% and the specific growth rate was 21,25±2,07%.
Keyword: Probiotic, Pseudoalteromonas 1UBR, Shrimp Larvae

Judul: Sintasan dan Pertumbuhan Larva Udang Vaname yang Diberi Mannanoligosakarida (MOS) dengan Dosis Berbeda Melalui Artemia.
Abstrak: This study aimed to determine the effectiveness of dietary enrichment of prebiotic mannan oligosaccharides (MOS) through Artemia on survival and growth rate of white shrimp larvae. The treatment of MOS-enriched Artemia was began on stage mysis 1 to postlarva 11 for 21 days with initial density of 15 shrimp larvae/L and an average body weight of 0,560±0,045 mg/larvae. The larvae were cultured in a jar with total water volume of 2 liters. Prebiotics used was MOS derived from yeast cell wall types Saccharomyces cerevisiae as powder. Dietary enrichment of prebiotic through Artemia consisted of four treatments: K (control, without prebiotic MOS), A (prebiotic MOS 6 ppm), B (prebiotic MOS 12 ppm) and C (prebiotic MOS 24 ppm) with 3 replicates for each treatment. The results showed that prebiotics MOS through Artemia enrichment increased the survival of white shrimp larvae. Dietary prebiotics with a dose of 6 ppm (A treatment) showed the highest survival rate (92,67±12,70 %) however with no growth difference than any other treatments and control.
Keyword: Artemia, white shrimp larvae, MOS prebiotic, survival rate

Judul: Cycle Hamilton pada Graf Lengkap, Graf Regular, dan Graf 2-Connected 4-Regular Berorder Kurang dari Sepuluh
Abstrak: Suatu graf disebut graf Hamilton apabila graf tersebut memuat cycle Hamilton, yaitu cycle yang melewati setiap vertex tepat satu kali. Menentukan keberadaan cycle Hamilton pada suatu graf dapat menggunakan syarat cukup yang berupa teorema-teorema yang telah diperkenalkan sejak tahun 1950-an. Beberapa syarat cukup yang dibahas dalam karya ilmiah ini adalah syarat cukup yang berhubungan dengan graf lengkap dan graf regular. Suatu graf lengkap berorder 𝑛������ ≥ 3 dan graf r-regular berorder 𝑛������ ≤ 2𝑟������ + 1 merupakan graf Hamilton, Karena kedua graf tersebut memuat cycle Hamilton. Selanjutnya, syarat cukup tersebut digunakan untuk menentukan keberadaan cycle Hamilton pada graf 2-connected 4- regular berorder kurang dari 10.
Keyword: graf Hamilton, graf regular, graf lengkap, graf 2-connected 4-regular