Judul: Pengaruh Trichoderma sp. dan Molase terhadap Sifat Biologi Tanah di Sekitar Lubang Resapan Biopori pada Latosol Darmaga
Abstrak: Organic waste addition into the biopore infiltration hole could improve soil biological properties due the increase of soil biological activities. The decomposition organic waste in the biopore infiltration hole could be accelerated by adding activator. The activators that could be added were Trichoderma sp. and molasses. This research aimed at finding out the effect of giving Trichoderma sp. and molasses in soil biological properties including population and diversity of soil fauna, microbes and fungi population at arround the biopore infiltration hole. Design model that used was randomized block design (RBD) with Least Significant Difference (LSD) test on the level of trust 5%. The treatment of this research were, P0: without treatment of organic waste (SO) + molasses (M) + Trichoderma sp. (T), P1: with addition of SO, P2: with addition of SO + M, P3: with addition of SO + T, and P4: with addition of SO + M + T. The result of this research showed that the addition of Trichoderma sp. (SO+T) and molasses (SO + M) treatments in biopore infiltration hole could improve the soil biological properties. It was indicated by the high of soil microbes population 1.59 x 106 CFU (Colony Forming Unit)/g ADW (Absolute Dry Weight) soil to the both treatments and significantly higher compared to the P0. Both of the treatments also had the highest population of soil fauna than other treatments, that were 6071 individual/m2 (SO + T) and 1908 individual/m2 (SO + M), and had high population of soil fungi, that were 1.26 x 104 CFU/g ADW soil (SO + T) and 1.42 x 104 CFU/g ADW soil (SO + M), nevertheless they all did not have significantly effect in increasing the diversity of soil fauna.
Keyword: Biopore Infiltration Hole, molasses, soil biological properties, Trichoderma sp.

Judul: Pengaruh Trichoderma sp. dan Molase pada Pengomposan Sampah Daun dalam Lubang Resapan Biopori terhadap Laju Pengomposan dan Laju Peresapan Air
Abstrak: Trichoderma sp. is typical microorganism that could increase the decomposition rate of organic materials, whereas by-product of sugar processing molasse can be used as energy source for support their growth. The aim of this research was to study the effect of Trichoderma sp. and molasses addition on rate of litters decomposition within biopore infiltration hole and water infiltration rate. This research used rendomized block design with three replications. The treatments applied, are (i) control (without leaf litter, P0), (ii) leaf litter (P1), (iii) leaf litter + molasses (P2), (iv) leaf litter + Trichoderma sp. (P3), and (v) leaf litter + combined Trichoderma sp. and molasses (P4). During the decomposition process, carbon (C) concentration in leaf litters was tended to decrease. The lowest carbon concentration contained in compost was found in treatment of P4 (18% C), whereas total nitrogen was varied among the treatments. The highest total nitrogen concentration was observed in treatment of P3 (0.72% N). The lowest C/N value was resulted in treatment of P3 (26.41). Phospore (P) and potassium (K) in compost was decreased during the decomposition process. All treatments with organic materials addition resulted in the increase of infiltration rate of biopore infiltration hole.
Keyword: water infiltration rate, Trichoderma sp, molasses, decomposition, compost

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