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Djuwandi ., Djuwandi
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PELABELAN GRACEFUL SISI-GANJIL PADA GRAF WEB W(2,n) Rizky, Putri Dentya; Ratnasari, Lucia; ., Djuwandi
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let G = (V(G),E(𝐺)) be a graph with vertex set 𝑉(𝐺) and edge set 𝐸(𝐺). Assume that graph G have 𝑞 edge. Graceful edge-odd labeling is a bijective map  𝑓 ∶ 𝐸(𝐺) →  {1, 3, 5,…,2𝑞 – 1} that resulting map 𝑓+ : 𝑉(𝐺) → {0,1,2,…,2𝑞 −1} with  such as obtained different edge label. Graph G ia called Graceful edge-odd labeling if there is graceful edge-odd labeling on G. Let  and  are two cycle graph with vertex set  and . Graph  is obtained by conected every vertex from  to   such as we have edge  Graph Web W(2,n) is a graph obtained by adding a pendant edge on each outer cycle vertex from graph . In this paper we will discussed about Graceful edge-odd labeling on Web (2,𝑛) graph and we have that Web W(2,𝑛) graph is graceful edge odd graph for n odd.
PENYELESAIAN MODEL DISTRIBUSI SUHU BUMI DI SEKITAR SUMUR PANAS BUMI DENGAN METODE KOEFISIEN TAK TENTU Niswah, Lutfiyatun; ., Widowati; ., Djuwandi
MATEMATIKA Vol 17, No 2 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Mathematical model in this paper describes the formation temperature distribution related to the process of heat transfer in geothermal wellbore. The model of formation temperature is based on the single thermal conduction equation. The form of the model is ordinary differential equation. Further, we derived an analytical solution with the method of undetermined coeffisient. The simulation  is done to determine the model’s behavior based on the secondary data. Based  on the simulation result is found that if the increasing depth hence the temperature increases.