Judul: Pengaruh Pemberian Sinbiotik terhadap Kinerja Produksi Udang Vaname Litopenaeus vannamei di Tambak Pinang Gading, Bakauheni, Lampung
Abstrak: Synbiotic applications on a laboratory scale had been performed and was able to improve survival rate, growth and immune response against multiple pathogens. The purpose of this research was to test the effects of synbiotic administration on production performance of white shrimp reared in shrimp ponds on field scale. Vibrio alginolyticus SKT-b bacterium and oligosaccharides extracted from sweet potato were used as probiotic and prebiotic. White shrimp that has been reared for 25 days after stocking was reared in shrimp pond 16 (2500 m2), pond 17 (3100 m2), pond 18 (4100 m2) and pond 19 (3600 m2) in stocking density of 72 shrimps/m2. This research consisted of two treatments with two replications: K treatment (without synbiotic administration) and P treatment (administration of 1% probiotic and 2% prebiotic). The results showed that synbiotic administration was able to improve the survival rate, daily growth rate, feed conversion ratio and immune response of white shrimp.
Keyword: pond, production performance, white shrimp, Synbiotic

Judul: Aplikasi Sinbiotik pada Udang Vaname Litopenaeus vanammei: Resistensi terhadap Infectious Myonecrosis Virus dan Performa Pertumbuhan
Abstrak: Outbreaks of Infectious Myonecrosis (IMN) attack white shrimp farming in Indonesia and caused death up to 70%. Many studies have shown efficacy of probiotics in improving the resistance of shrimp or fish against disease by suppressing pathogens, while enhancing immunity and or improving water quality. Application prebiotics also has shown a variety of benefits to the aquatic animal. However, the combination of probiotics with prebiotics (synbiotics) showed better results than when it is applied separately. This study aimed to evaluate the potential of synbiotics from SKT-b bacteria and oligosaccharides-extracted from sweet potatoes, in increasing both white shrimp resistance to IMN and their growth performance. The experiment was conducted in Mei-September 2012, held at the Fish Health Laboratory, Faculty of Fisheries and Marine Sciences and the Diploma Programme, Bogor Agricultural University. This study includes the preparation of a prebiotic (sweet potato-extrac preparation and analyzes of oligosaccharides), preparation of probiotic bacteria (SKT-b bacteria growth), in vitro and in vivo tests. In vitro study tested the combination of prebiotics dose 0, 1, 2 and 3% and probiotics 107, 108, 109, 1010 cfu ml-1, that result the best growth of probiotic bacteria. In in vivo test, the white shrimp was given a feed in which probiotics (1010 cfu g feed-1) with various doses of prebiotics (0, 1, 2, and 3%) added, for 30 days. Measurement parameters to test the growth performance is conducted at the end of treatment, including specific growth rate, feed efficiency, retention of nutrients (protein and lipid) and the activity of digestive enzymes (protease and amylase). On challenge their resistance to IMN, shrimp was infected with IMN virus (IMNV) through injection and was observed for 10 days. Parameters observation includes survival, clinical symptoms, and immune parameters (total hemocyte [THC] and phenoloxidase [PO] activities). The ethanol extract of sweet potato used in this study contains three types of oligosaccharide-which are maltoheptaosa, sucrose, and raffinose-with the total concentration of oligosaccharides that reached 64,86%. SKT-b bacteria reached its optimal growth after 16 hours which was 5,9 x1010 cfu ml-1. The results of in vitro assays showed that the addition of prebiotic in culture medium can increase the growth of SKT-b bacteria which was positively correlated with the escalation of the dose of prebiotics and the concentrations of inoculants. The most optimal combination of prebiotics and probiotics was obtained from the addition of 3% of prebiotics and 1010 cfu ml-1 of SKT-b bacteria inoculant. In in vivo tests, the synbiotic feeding treatment (Pro+Pre) for 30 days increased shrimp survival and lowered its infection rates to IMNV, along with the increasing doses of prebiotics. This is because the increased of shrimp’s immunity after the synbiotics treatment was given. Pro+Pre 2% and Pro+Pre 3% treatment can increase THC of white shrimp to two times greater than THC of the shrimp control in the beginning of the observation. The decrease the amount of THC in both treatments after infection IMNV indicates a rapid reaction to the infection. IMNV infection caused the increase of PO activities in the shrimp in all treatments until the end of the observation. The highest PO
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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