Judul: Peningkatan nilai tambah minyak jarak pagar (Jatropha curcas Linn) untuk pembuatan sabun transparan
Abstrak: Jatropha curcas Linn has been known as a plant that has medicinal properties include in its oil. This paper attempt to describe how to increase added value of Jatropha curcas Linn oil in form of transparent soap. This research used Jatropha curcas Linn oil in transparent soap formula has been conducted. The treatment in this reasearh was only concentration level of Jatropha curcas oil in the transparent soap formula. The effect of oil concentration level in transparent soap formula was identified by water content, free fatty acid content, free alkaline, unsaponiviable fraction, mineral oil content, and foam stability. Transparent soap that was produced then tested to the consummer. Organoleptic test (hedonic test) was performed to know the consummer preference through scent effect, appearance, effect on the skin, hardness, transparency level. Overall test then ranked and the best soap that contain Jatropha curcas Linn oil was 5 %. Added value also was counted in transfoming of Jatropha curcas Linn oil into transparent soap.
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Judul: Utilization of Coconut Oil Industrial Liquid  Waste to Become Transparent Solid Soap with Additives Essential Oil Lavender
Abstrak: Limbah cair yang dihasilkan dari proses produksi minyak kelapa di Koperasi W masih memiliki kandungan minyak yang cukup banyak. Minyak dan lemak dalam konsentrasi yang tinggi akan merusak lingkungan terutama pada perairan , hal ini dikarenakan Lapisan minyak dan lemak tersebut akan menghalangi masuknya cahaya matahari sehingga tumbuhan air tidak dapat melakukan fotosintesis. Oleh karena itu perlu dilakukan pemanfaatan kembali minyak yang terdapat dalam limbah cair untuk mengurangi volume dan dampak negatifnya. Salah satu cara yang dapat dilakukan yaitu dengan memanfaatkan kembali minyak dalam limbah menjadi produk sabun padat transparan dengan penambahan essential oil lavender. Dengan melalui tahap desain keteknikan yaitu fase eksplorasi, pendefenisian masalah, ideasi, prototipe dan validasi maka diracang formulasi sabun padat transparan dengan bahan baku minyak kelapa hasil pemurnian limbah. Hasil analisis keragaman terhadap sabun transparan dengan konsentrasi essential oil lavender yaitu F1 sebanyak 0 ml , F2 sebanyak 0,5 ml dan F3 sebanyak 1 ml pada tingkat kepercayaan 95% (α=0,05) menunjukkan bahwa penambahan essential oil lavender berpengaruh nyata terhadap nilai pH dan kekerasan dan tidak berpengaruh nyata terhadap kadar air, dan stabilitas busa. Sebanyak 57% Panelis menyatakan lebih menyukai sampel sabun F3 dikarenakan memiliki aroma lavender yang lebih menyengat, halus, dan meninggalkan kesan kesat setelah digunakan. Analisis kelayakan finansial sabun memiliki hasil B/C ratio 1,7 > 1 sehingga projek ini layak untuk dikembangkan., The liquid waste generated from the coconut oil production process at Cooperative W still contains a significant amount of oil. Oil and fats in high concentrations can have detrimental effects on the environment, particularly in aquatic ecosystems. This is due to the fact that the layer of oil and fats can obstruct the penetration of sunlight, thereby inhibiting aquatic plants from engaging in photosynthesis. Consequently, there is a pressing need to effectively repurpose the oil present within the liquid waste in order to diminish both its volume and its associated negative impact. One viable approach to achieving this objective entails the reutilization of the oil within the waste stream to produce solid transparent soap, complemented by the addition of lavender essential oil. By proceeding through the stages of engineering design, namely the exploration phase, problem definition, ideation, prototyping, and validation, a formulation for solid transparent soap has been meticulously devised, incorporating refined coconut oil obtained from waste as a fundamental raw material. The outcomes of a variance analysis on the transparent soap, varying in concentrations of lavender essential oil (referred to as F1 with 0 ml, F2 with 0.5 ml, and F3 with 1 ml), at a 95% confidence level (α=0.05), affirm that the addition of lavender essential oil significantly influences both pH levels and hardness, while exerting no statistically significant impact on moisture content and foam stability. A notable 57% of the panelists expressed a preference for the F3 soap sample. This preference arises from its pronounced, refined lavender aroma, which culminates in a smooth and refreshing sensation upon application. A financial feasibility analysis of the soap project reveals a B/C ratio of 1.7, exceeding the threshold of 1. Consequently, this project is deemed economically viable for further development.
Keyword: Essential oil lavender, limbah cair, minyak, sabun padat transparan

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.