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All Journal Jurnal Pengabdian UntukMu NegeRI Jambura Journal of Mathematics
Nasfianti, Iis
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Religion Computer Science & IT Economics, Econometrics & Finance Education Law, Crime, Criminology & Criminal Justice Mathematics Social Sciences

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The Hamiltonian and Hypohamiltonian of Generalized Petersen Graph (GP_(n,9)) Susilawati, Susilawati; Nasfianti, Iis; Agustiarini, Efni; Nasution, Dinda Khairani
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.30053

Abstract

The study of Hamiltonian and Hypohamiltonian properties in the generalized Petersen graph GP_{n,k} is interesting due to the unique structure and characteristics of these graphs. The method employed in this study involves searching for Hamiltonian cycles within the generalized Petersen graph GP_{n,9}. Not all of GP_{n,9} graphs are Hamiltonian. For certain values of n, if the graph does not contain a Hamiltonian cycle, then one vertex should be removed from the graph to become Hamiltonian or neither. This research specifically investigates the Hypohamiltonian property of GP_{n,9}. The results show that for n ≡ 3 (mod 19) and n ≡ 5 (mod 19), GP_{n,9} is Hamiltonian. Meanwhile, for n ≡ 0 (mod 19), GP_{n,9} is Hypohamiltonian. Furthermore, for n ≡ 1 (mod 19), n ≡ 2 (mod 19), and n ≡ 4 (mod 19), GP_{n,9} is neither Hamiltonian nor Hypohamiltonian.
Enhancing Teachers' Knowledge of Artificial Intelligence and Information Technology at SMPN 11 Pekanbaru: Penguatan Literasi Teknologi Informasi dan Artificial Intelligence bagi Pendidik SMPN 11 Pekanbaru Sujana, Teguh; Amalia Putri, Rizka; Nasfianti, Iis; Wulandari, Nindya; Fawrin, Heralda
Jurnal Pengabdian UntukMu NegeRI Vol. 9 No. 3 (2025): Pengabdian Untuk Mu negeRI
Publisher : LPPM UMRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37859/jpumri.v9i3.10349

Abstract

Rapid technological advancements necessitate that educators constantly adjust to new advances, such as the application of artificial intelligence (AI) and information technology in the classroom. The fact remains that many educators are still not accustomed to incorporating technology into their lessons. By promoting the use of AI as a learning aid and adopting IT-based learning, this community service project seeks to improve the knowledge and abilities of SMPN 11 Pekanbaru instructors. The Participatory Rural Appraisal (PRA) method was used in the activity, which was conducted as a workshop with materials, discussions, and practical application. A variety of applications that can aid in the learning process were presented to the teachers. The activity's outcomes demonstrated a rise in teachers' technological knowledge and proficiency as well as the appearance of motivation to innovate in the classroom. Teachers can better prepare for the difficulties of teaching in the digital age by starting with this activity.
Co-Authors Efni Agustiarini, Efni Fawrin, Heralda Nasution, Dinda Khairani Nindya Wulandari Rizka Amalia Putri Susilawati, S. Teguh Sujana