Judul: Analisis Faktor-Faktor yang Memengaruhi Penerimaan Negara Bukan Pajak (PNBP) Subsektor Migas Periode 2001-2011
Abstrak: Penerimaan Negara Bukan Pajak (PNBP) or non tax national revenues from oil and gas sector accounted for approximately 30% of Indonesia’s national income. PNBP from the oil and gas sector is important that its optimizing the factors that affect national revenues. Commodity of oil and gas is a non-renewable resource, but it still an important sector for economic growth and national energy resources in Indonesia. This study aims to look at the development of oil and gas sector and its contribution to PNBP, and to assess the suitability of assumptions and realization of PNBP of oil and gas, and to analyze the factors that affect PNBP of oil and gas sector in Indonesia in 2001-2011. Descriptive method is used to explain the development of Indonesian oil and gas sector and explains the achievement of the assumptions and realization of oil and gas non-tax revenues. Analytical method is used to analyze influential factors PNBP of oil and gas in Indonesia. The analytical method used a multiple linear analysis model with Ordinary Least Square (OLS). Estimated variables are national oil and gas production, oil and gas prices and cost recovery Indonesia issued by government. From the data of 2005-2010, the amount of PNBP oil and gas tend to fluctuate year to year. On the other side, Indonesian oil and gas production declined. In contrast to oil and gas production that likely to decline each year, oil and gas prices continue to rise. Cost recovery value increased each year also affects the oil and gas tax revenues. Improved cost recovery is not able to increase oil and gas production in Indonesia so that the value of oil and gas non-tax revenues fluctuate each year following the price of oil and gas. The magnitude of the assumption for non-tax revenue of oil and gas Indonesia is often different from the amounts realized. Assuming level of achievement with the realization of PNBP in 2005- 2010 by an average of 93.85 percent. This is due to inaccurate basic variables assumptions determining the non-tax revenues such as oil and gas production, cost recovery and oil prices. Average achievement of the realization of oil and gas prices were 87.93 percent. The average achievement of cost recovery is 93.01 percent. Oil production has an average achievement of 97.53 percent. Seen from the data, oil and gas price assumptions have the lowest achievement level compared to other variables. Variables that not significantly affect the oil and gas tax revenues is national oil and gas production, while oil and gas prices and cost recovery significantly affects. Probability value of t-statistic test for variable gas production amounted to 0.4658, variable oil and gas price of 0.0011 and 0.0698 for cost recovery variable.
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Judul: Oil and Gas Balance Analysis (“X” Field Case Study)
Abstrak: Indonesia merupakan salah satu negara di dunia yang memiliki potensi sumber daya alam berupa minyak dan gas bumi. Sumber daya minyak dan gas di Indonesia berperan penting dalam kehidupan perekonomian, sehingga pemanfaatan minyak dan gas bumi perlu dikelola secara baik dan benar. Penyusunan neraca sumber daya alam merupakan bagian penting dari tata kelola kekayaan yang dikuasai negara. Nilai sumber daya harus diketahui agar pemerintah dapat membuat kebijakan yang tepat terutama untuk lapangan minyak dan gas yang akan terminasi. Salah satu sumber daya minyak dan gas bumi yang memiliki nilai dan dampak produksi signifikan bagi perekonomian Indonesia adalah Lapangan “X” di Kalimantan Timur. Penelitian ini bertujuan untuk memberikan gambaran umum tentang pengelolaan minyak dan gas di Lapangan “X”, memperkirakan nilai moneter volume minyak dan gas dalam periode tertentu serta menganalisis kebijakan yang dapat mendorong pengelolaan lapangan minyak dan gas yang tersisa lebih optimal. Data yang digunakan dalam penelitian bersumber dari hasil diskusi, observasi lapangan, studi literatur kebijakan pemerintah, dan dokumentasi perusahaan. Analisis yang dilakukan dalam penelitian ini terbagi menjadi analisis deskripsi, analisis neraca minyak dan gas dan analisis kebijakan pengelolaan sumber daya minyak dan gas. Alat analisis yang digunakan berupa studi literatur kebijakan pemerintah dan perusahaan, metode Net Present Value (NVP) dan metode multicriteria decision analysis (MCDA). Berdasarkan hasil analisis, nilai fisik cadangan terbukti minyak dan gas pada Lapangan “X” berjumlah 322.988.294 barel & 420.745.986 MSCF; sedangkan nilai moneter cadangan minyak dan gas sebesar Rp 222.655.210.375.641 (minyak) dan Rp 18.137.532.430.896 (gas) hingga akhir tahun 2018. Analisa kebijakan terhadap pengelolaan Lapangan “X” dengan memperhitungkan kriteria HSE (Health, Safety and Environment), sosial, dan ekonomi menghasilkan suatu kesimpulan bahwa alternatif kebijakan Gross Split memiliki nilai tertinggi jika dibandingkan dengan kebijakan Cost Recovery dan kebijakan Cost and Fee untuk rancangan kebijakan pengelolaan minyak dan gas., Indonesia is one of the countries in the world that have potential of natural resources such as oil and gas. Oil and gas resource in Indonesia plays an important role in the economic life, consequently the use of oil and gas needs to be managed properly. Preparation of the natural resources balance sheet is an important part of the governance of state asset. The value of resources must be known so that the government can make the right policies, especially for oil and gas fields that will be terminated. One of the resources of oil and gas that have significant production value and impact to the economy of Indonesia is the “X” field at East Kalimantan. This study aims to provide an overview of oil and gas processing in the "X" field, estimate the monetary value of oil and gas volumes on valuation date and analyze policies that can encourage the management of the remaining oil and gas fields more optimally. Data used in the study came from the results of the discussions, field observations, literature review government policies and company documentation. The analysis conducted in this study is divided into description analysis, oil and gas balance analysis and policy analysis of oil and gas resource management. The analytical tool used is a study of government and company policy literature, the Net
Keyword: Reserves, Policy, Oil and Gas, NVP, Physical and monetary balance sheets

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. ,,,
Keyword: graf Hamilton, graf regular, graf lengkap, graf 2-connected 4-regular.