Judul: Skrining Efektivitas Ekstrak dan Fraksi Daun Sembung Rambat (Mikania micrantha H.B.K.) terhadap Bakteri dan Dermatofita
Abstrak: The aim of this research was to compare the effectivity of crude ethanolic extract of sembung rambat (Mikania micrantha H.B.K.) leaves and its fractions (n-hexan, chloroform, ethyl acetate, and aquades fraction) against positive-Gram bacteria, negative-Gram bacteria, and dermatophytes. The fractionation method used in this research was liquid-liquid fractionation and the method used for in vitro effectivity test was agar well diffusion method. The result turned that chloroform fraction of sembung rambat leaves showed the best growth inhibitory activity against positive-Gram and most of negative-Gram bacteria compared with crude ethanolic extract and the other fractions, with inhibitory zone: 18.67 + 1.15 mm (S. aureus), 22.33 + 1.53 mm (S. epidermidis), 20.67 + 0.58 mm (B. cereus), 22 + 1 mm (Bacillus sp.), 16.67 + 0.58 mm (E. coli), 15 mm (S. enteridis), and 9.67 + 2.52 mm (P. multocida). The best inhibitory zone against Microsporum canis (21.67 + 1.15 mm) and Microsporum gypseum (23.33 + 0.58 mm) were showed by chloroform fraction; while the best growth inhibitory activity for Tricophyton mentagrophytes (11.67 + 2.08 mm) was showed by ethyl acetate fraction.
Keyword: Mikania micrantha H.B.K., dermatophyte, Antimicrobial, bacteria, Bogor Agricultural University (IPB)

Judul: Efektivitas Antimikroba Ekstrak Daun Sembung Rambat (Mikania micrantha H.B.K.) terhadap Bakteri Gram Positif yang Resisten Penisilin
Abstrak: The used of antibiotic which is uncontroled has lead to the emergence of resistant bacteria, such as penicillin-resistant bacteria. Therefore, many research in finding new antimicrobial drugs are barely needed to be conducted. One of the potential herbs is Mikania micrantha known as sembung rambat in Indonesia, an invasive alien species. The aim of this research was to showed effectivity of crude ethanolic extract of Mikania micrantha leaveas in inhibiting the growth of penicillin G resistent positive Gram bacteria. The crude ethanolic extract of Mikania micrantha leaves was tested penicillin G-resistant positive-Gram bacteria. The method used for in vitro effectivity test in this research was well diffusion agar method in various concentrations. The results obtained that crude ethanolic extract of Mikania micrantha leaveas showed effectivity in inhibiting the growth of penicillin G resistent positive Gram bacteria and the effective concentration is 80% (g / ml).
Keyword: penicillin-resistant bacteria, Bogor Agricultural University (IPB), Mikania micrantha, Antimicrobial

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