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All Journal Journal of the Indonesian Mathematical Society JUTEKS - Jurnal Teknik Sipil
Mira Wadu
Universitas Gadjah Mada
Civil Engineering, Building, Construction & Architecture Engineering Environmental Science Materials Science & Nanotechnology Mathematics Transportation

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THE NON-BRAID GRAPH OF DIHEDRAL GROUP Dn Hubbi Muhammad; Rambu Maya Imung Maharani; Sri Nurhayati; Mira Wadu; Yeni Susanti
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1401.110-120

Abstract

We introduce the non-braid graph of a group G, denoted by ζ(G), as a graph with vertex set G \ B(G), where B(G) is the braider of G, defined as the set {x ∈ G | (∀y ∈ G)xyx = yxy}, and two distinct vertices x and y are joined by an edge if and only if xyx ̸ = yxy. In this paper particularly we give the independent number, the vertex chromatic number, the clique number, and the minimum vertex cover of non-braid graph of dihedral group Dn
Pengaturan Durasi Traffic Light pada Simpang Empat Kirab Kota Kupang Menggunakan Aljabar Max-Plus Wadu, Mira
JUTEKS : Jurnal Teknik Sipil Vol 9 No 2 (2024): JUTEKS (Jurnal Teknik Sipil)
Publisher : P3M- Politeknik Negeri Kupang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32511/juteks.v9i2.1346

Abstract

The purpose of this study is to set the duration of traffic lights using max-plus algebra at the Kirab intersection in Kupang City. This study is based on the existing traffic light duration, then a directed graph is formed and modeled in max-plus algebra. Furthermore, the model is analyzed using the power algorithm and the average period of the green light duration for each phase is . In this study, the analysis results were obtained with . Thus, the new green light duration obtained using max-plus algebra for each intersection is 28 seconds, 31 seconds, 23 seconds and 30 seconds.
Co-Authors Hubbi Muhammad Rambu Maya Imung Maharani Sri Nurhayati Yeni Susanti