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All Journal Vygotsky: Jurnal Pendidikan Matematika dan Matematika MATHunesa: Jurnal Ilmiah Matematika
Ameliyah, Addinda Nur
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Mathematics

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BILANGAN KETERHUBUNGAN TITIK PELANGI BEBERAPA KELAS GRAF Ameliyah, Addinda Nur; Budayasa, I Ketut
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 3 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p339-348

Abstract

A graph G is called a rainbow vertex connected if every two vertices G are connected by a rainbow path, that is, a path whose all the internal vertices are of a different color. The rainbow vertex connection number of graph G denoted by rvc(G) is the minimum number of colors used to color all vertices by G such that the graph G is connected to rainbow vertex. The rainbow vertex connection number in a graph will not be less than the diameter of the graph minus one. The rainbow vertex connection number discussed in this article for various classes of graphs include complete graph Kn, complete bipartite graph Km,n , wheel graph Wn , two-layer wheel graph Wn2, complete multipartite graph Kn1,n2,...,nt , path Pn, comb graph GSn, graph , graph , graph , graph . Keywords: graph, vertex coloring, rainbow vertex connection number.
Estimation of Dengue Fever Transmission Model in West Java Using the Ensemble Kalman Filter Method Ameliyah, Addinda Nur; Arif, Didik Khusnul
Vygotsky: Jurnal Pendidikan Matematika dan Matematika Vol. 8 No. 1 (2026): Vygotsky: Jurnal Pendidikan Matematika dan Matematika
Publisher : Universitas Islam Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30736/voj.v8i1.1325

Abstract

Dengue Fever Transmission is a serious, potentially fatal infectious if unmanaged disease. It caused by the dengue virus, transmitted by Aedes aegypti and Aedes albopictus mosquitoes. In West Java, cases remain high and fluctuate significantly, requiring precise mathematical modeling to describe transmission dynamics. This is the first study applying Ensemble Kalman Filter (EnKF) in West Java to estimate the SEIR-SI model, compared to Unscented Kalman Filter (UKF), using dengue fever transmission case data from 2010–2023. Performance was assessed via Mean Absolute Percentage Error (MAPE) for the infected human population ( ), showing EnKF’s superior accuracy (2.4%) over UKF (7.8%). EnKF effectively estimates hard-to-measure epidemiological variables and this study can support government prediction-based dengue fever transmission control policies.
Co-Authors Arif, Didik Khusnul I Ketut Budayasa