Judul: Isolasi dan seleksi mikrob tanah yang menguntungkan serta pengaruhnya terhadap tanaman caisin (Brassica parachinensis)
Abstrak: Indonesia has soil that is very potential to be explored its microbe. Unfortunately the researchs in regards to the total, type, and the diversity of soil microbe are still rare. Hence the major part of soil miciobe is beneficial to the plant growth and it is required in the sustainability of nutrient cycling process in the nature. LnocuIation of soil microbe is expected to assist enhancing the availability of soiI organic matter and at the end will improve plant growth. This research was aimed to get the best microbe isolates and to study their impact on the growing of caisin plant (Brnssicn pnvnchirzensis). Soil samples for microbe isolation were taken fiom two locations namely Cugenaltg and Cikabayan. There were ten best isolates namely: two isolates of phosphate solubilizing bacteria (BF63 and BF223), two isolates of phosphate solubilizing fungi fFF23 and FF51), two isolates of Pseudomonas (P83 and PI 13), and four isolates of ceIlulose degradation microbe (S31, $33, S52, and S133). All of the ten isolates plus one comparison isolate and co~~txoaft the end were inoculated to the caisin plant. This resemch used Con~plete Random Design (RAL) with 24 treatrneilts, substantially microbe treatment with the full fertilizer dosage and microbe treatment with half fertilizer dosage. The entire treatments were repeated thee times so these were 72 experimental units.
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Judul: Isolasi dan Seleksi Bakteri Berpotensi Sebagai Pemicu Pertumbuhan Tanaman
Abstrak: This study aims to collect bacterial isolates potentially such as; solubilizing bacterial phosphate, cellulose decomposer, and N2 fixer (Azospirillum). Stages of research include the isolation and purification; Selection BPF (qualitative test, quantitative), CPM (cellulolytic index), Azospirillum (Kjeldahl method); bacterial testing (hypersensitivity test, hemolytic test, bacterial antagonism test). The results showed that the best BPF isolates with the biggest IP and the P-value was BPF3.2.1 and BPF2.1.1 isolates. The best isolates of best CPM in producing cellulose with highest is value was BPS2.1.1 and BPS3.5 isolates. The best Azospirillum isolates which able to fix N2 was AZ3.2 and AZ2.4 isolates. Isolates BPS3.5 BPF2.1.1 and AZ3.2 indicated to show have antagonistic when were grow in the same plate . All isolates were not pathogenic to plants. However, isolates AZ3.2 and BPS2.1.1 potentially pathogenic to animals.
Keyword: Bogor Agricultural University (IPB), patogenitas, BPS, BPF, Azospirillum, antagonistic

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