Judul: Pengaruh Media Dasar dan Konsentrasi BAP terhadap Pertumbuhan Stek Buku Tunggal In vitro Tanaman Zaitun (Olea europea L.)
Abstrak: Olive (Olea europaea L) is a native plant of Mediteranian region. This plant is largely cultivated and a major commodity that plays an important role in the economy of that region. Olive plant propagation is still using conventional technique by stem cutting and seeds. The stem cutting method has low efficiency rate and requires high control of enviromental conditions. In vitro propagation can be used as an alternative to produce olive plants rapidly and more efficiently. The aims of this research are to know the most effective medium and BAP plant growth regulator concentration for the growth of olive nodal segment culture and to find a better method of explant sterilization. Sterilization methods consisted of four types of treatment that were a standard surface sterilization, the application of HgCh, chloramphenicol, or Plant Preservative Mixture (PPM) in the culture medium. The most effective sterilization method was the standard sterilization plus PPM. The basic media used were DKW or WPM, and the BAP concentrations were 0, 1, 2, and 4 ppm. The result of this research showed that DKW medium without BAP (0 ppm) was the most effective formulation for the growth of olive nodal segment.
Keyword: Bogor Agricultural University, Olea europaea, medium DKW, in vitro culture

Judul: Pengaruh Media Dasar dan Konsentrasi 2-iP pada pertumbuhan Stek Mikro Tanaman Zaitun (Olea europea L.)
Abstrak: Olive (Olea europaea L.) is a plant that can grow in many types of soil and environmental conditions as well as easy to maintain. The demand for fruit and olive oil is high. However, cultivation of olive in Indonesia is still limited and treated traditionally. Tissue culture techniques can be an alternative in producing seeds in large amount and in shorter time. The purpose of this study is to find the most effective basic medium and concentration of 2-iP for growing axillary bud of olive (Olea europaea L.) in vitro on the micro cutting. Olive explants were taken from the field and were sterilized with four sterilization methods. It was then planted in Murashige and Skoog (MS) media for two weeks that served as pretreatment phase. The culture which survived from sterilization was moved to the basic media of Woody Plant (WP) and Driver Kuniyuki for Walnut (DKW) enriched with 2-iP at the concentration of 0, 1, 2, 4 ppm in each medium. The results of this study showed that WP medium without 2-iP was the most effective medium for in vitro growth and development of olive bud than the others and the sterilization with the addition of 0.02 % Plant Preservative Mixture (PPM) biocide in the medium was the most effective sterilization method.
Keyword: Bogor Agricultural University, WP medium, DKW medium, 2-iP, micro cutting, Olea europaea

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