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 pada graf cycle (P_2n(+)N_m), graf planar ((P_2 U k K_1)+N_m), graf jalinan, dan graf ubur-ubur
Abstrak: Labeling in graph theory is a bijection mapping that maps each elements of a set of vertices and a set of edges to the set of natural number. A graph denoted by ( ( ) ( )) with p vertices and q edges is called a super edge magic if and only if there is a bijective function that maps each of vertices labels to the natural numbers range 1 to and each of edges labels to the natural numbers range to . Also, there is a constant so that the number of two adjacent vertices and one of edges is equal to . In this paper, there are one lemma and four theorems were discussed. The lemma proves that graph with super edge magic labeling has a set of edges that consists of consecutive integers. Each of the four theorems proves that cycle graph ( ( ) ), planar graph (( ) ), braid graph and jellyfish graph has super edge magic labeling. This was proved using the fact indicated in the lemma previously mentioned.
Keyword: Bogor Agricultural University (IPB), Super Edge Magic, Graph Labeling, Consecutive Set of Edges

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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