Judul: Pelabelan d-lucky pada Jaringan Hypercube, Jaringan Kupu-kupu, dan Jaringan Benes.
Abstrak: Pelabelan d-lucky dari suatu graf merupakan pemetaan dari himpunan simpul yang berupa urutan biner dengan panjang n-dimensi pada deret {0,1} ke himpunan bilangan bulat {1,2, … , 𝑘}, dengan k adalah bilangan bulat positif terkecil. Didefinisikan bobot dari suatu simpul adalah jumlah label dari tetangga terbukanya dan derajat simpul tesebut. Setiap simpul di graf dikatakan memiliki label d-lucky, jika setiap pasangan simpul yang adjacent memiliki bobot yang berbeda. Karya ilmiah ini menjelaskan pembuktian teorema-teorema yang menyatakan bahwa jaringan Hypercube, jaringan kupu-kupu, dan jaringan Benes memiliki pelabelan dlucky dengan bilangan d-lucky dari graf tersebut adalah 2.
Keyword: jaringan Hypercube, jaringan kupu-kupu, jaringan Benes, pelabelan dlucky, adjacent

Judul: Pelabelan Super Edge-Magic dan Super Vertex-Antimagic pada Graf Kipas, Graf Matahari, Graf Ulat, dan Graf Prisma.
Abstrak: Pelabelan edge-magic dan vertex-antimagic pada suatu graf dengan banyaknya simpul dan banyaknya sisi adalah fungsi bijektif dari himpunan simpul digabung himpunan sisi yang dipasangkan ke himpunan bilangan bulat terurut 1,2, … , �� + �� , sedemikian sehingga semua bobot sisi mempunyai nilai yang sama dan semua bobot simpulnya mempunyai nilai yang berbeda. Pelabelan edge-magic dan vertex-antimagic yang memasangkan himpunan simpul ke himpunan bilangan bulat terurut 1,2, … , disebut pelabelan super. Dalam karya ilmiah ini, akan ditunjukkan bahwa graf kipas, graf matahari, graf ulat, dan graf prisma memiliki pelabelan super edge-magic dan super vertex-antimagic.
Keyword: graf kipas, graf matahari, graf prisma, graf ulat, pelabelan super edgemagic total, pelabelan super vertex-antimagic total, pelabelan total

Judul: Study on mixing process using static-mixer method to increase transesterification efficiency of refined palm oil into biodiesel
Abstrak: One of the difficulties faced in the current technology for biodiesel production is the requirement for rigorous mixing of methanol with the feedstock oil in the reactor. Utilization of blade mixer has limitation due to the immiscible state of those substances. This research was devoted to assess of static-mixer utilization in a transesterification reactor for biodiesel production in terms of kinetics reaction (reaction rate coefficient k, activation energy Ea, and collision factor or coefficient factor A). The experiments were conducted by reacting refined bleached deodorized palm olein (triglyceride or TG) with methanol (MeOH) at 50, 55, 60, 65, and 70o C, using potassium hydroxide (KOH) as a catalyst at atmospheric pressure. Molar ratio of TG and MeOH was 1 : 11.5 and KOH used was 1% of palm oil weight. Transesterification process using blade agitator with the same reaction condition was performed as base of comparison to those of static-mixer. Energy consumption was measured for heater during oil heating, transesterification, boiling water and biodiesel drying by kWh meter. It was also conducted for pump for distribution, reactant mixing, and impeller of blade agitator. The experiments showed that static-mixer has significant effect in reducing reaction time to reach required fatty acid methyl ester content (FAME) i.e. 96.5% than those of blade agitator. Transesterification reaction time with static-mixer were shorter than with blade agitator for all temperature levels. Reaction temperature of 65o C with 5 minutes of reaction time demonstrated the best condition for running the static-mixer reactor.
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