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Journal : Unisda Journal of Mathematics and Computer Science (UJMC)

Analisis Faktor Acute Flaccid Paralysis Di Provinsi Jawa Timur Menggunakan Regresi Poisson Inverse Gaussian Ma'rifatul Julviana; Rizka Rizqi Robby; Galuh Tyasing Swastika; Ewing Rudita Arini
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i2.10591

Abstract

Acute Flaccid Paralysis (AFP) is a paralysis condition that occurs suddenly and is weak, usually experienced by children under 15 years of age and is not caused by an accident. In 2005, Indonesia experienced its first case of the polio virus, when it almost received an international polio-free certificate. East Java Province, as one of the provinces with the largest population in Indonesia, has big challenges in controlling AFP cases. In this study there were 7 variables used including 1 dependent variable, namely the number of cases of Acute Flaccid Paralysis (AFP), and 6 independent variables including Population Density (), Percentage of Polio Immunization (), Number of Health Workers (), Percentage of Clean Water Availability (), Number of Poor Population (), and Human Development Index (HDI) (). In this research data, the variance value is much greater than the average (overdispersion), so to handle this, the Poisson inverse Gaussian regression method is used because it is very suitable for dealing with count data that experiences overdispersion. The best modeling form of Poisson inverse Gaussian regression for the number of AFP cases in East Java Province is as follows:. Based on hypothesis testing, the factors that have the most influence on the best model of AFP cases in East Java Province using Poisson inverse Gaussian (PIG) ​​regression are the Percentage of Polio Immunization (), and the Number of Health Workers (
Teorema Polya pada Graf Sederhana yang Tidak Saling Isomorfis Sembilan Simpul Risang Narendra; Novia Ibnu Wulansari; Rizka Rizqi Robby; Galuh Tyasing Swastika
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i2.11304

Abstract

Salah satu kajian dalam teori graf yang menarik untuk diteliti adalah tentang graf yang tidak saling isomorfis. Tujuan dalam penelitian ini yaitu mencari pola banyaknya graf yang tidak saling isomorfis menggunakan Teorema Polya. Teorema Polya berkaitan dengan indeks sikel suatu grup, karena Teorema Polya merupakan teorema yang digunakan untuk menghitung banyaknya pola-pola suatu grup permutasi yang membentuk indeks sikel dari grup tersebut. Teorema Polya terdiri dari Teorema Polya I dan Teorema Polya II. Dimana Teorema Polya I digunakan untuk menentukan jumlah banyaknya graf sederhana yang tidak saling isomorfis, sedangkan Teorema Polya II digunakan untuk menentukan bentuk-bentuk dari graf sederhana yang tidak saling isomorfis tersebut. Banyaknya graf sederhana yang tidak saling isomorfis dari ???? = 9 simpul adalah 114.008.254 dan diketahui ada 1 graf tanpa sisi serta 1 graf dengan 45 sisi.