Niken Retnowati
Universitas Widya Dharma Klaten

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

PERBANDINGAN ALGORITMA DJIKSTRA DAN WARSHALL DALAM PENENTUAN LINTASAN TERPENDEK KE KOTA KLATEN Niken Retnowati; Rizka Safitri Lutfiyani
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 4 No 2 (2018): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (676.572 KB) | DOI: 10.52166/ujmc.v4i2.1132

Abstract

Search for the shortest path is a problem that is faced when we want to travel or go somewhere. Klaten City is one of the cities in Central Java. Cities around Klaten include Boyolali. When we go to Klaten city there are several alternative roads or trails that can be chosen from Boyolali. Mathematically this condition can be applied in graphical form to find the shortest path to the city of Klaten. Determination of the shortest path can be found using the Djikstra Algorithm and the Warshall Algorithm. Researchers tried to compare the two methods to get the most optimal result. From the study concluded that the Djikstra algorithm is more effective than the Warshall algorithm for the shortest path from Boyolali to Klaten.
Pewarnaan Graf Dalam Penentuan Jadwal Ujian Mahasiswa (Studi Kasus Prodi Teknik Informatika Unwidha) Niken Retnowati; Aryati Wuryandari; Agustinus Suradi
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 1 (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.v11i1.9440

Abstract

Often, scheduling final-year student exams becomes a problem within the scope of study programs, one of which is the Informatics Engineering study program at Widya Dharma University, Klaten. This is because the schedule of each examining lecturer is not the same, and besides that, the space available also varies every day. There are several alternative algorithms that can be used to solve scheduling problems, one of which is graph coloring. Graph coloring can include points, lines, and areas. In this research, researchers will try to divide student exam schedules using dot coloring, where the dot coloring algorithm used is Welch Powel The Welch Powell algorithm is the most frequently used graph coloring algorithm. This algorithm starts by sorting the degrees of the graph from largest to smallest, then assigns a color to the vertex at the largest vertex and assigns a different color to the vertices below that are not adjacent to that vertex. Keywords: Welch-Powell algorithm, graph, graph coloring.