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All Journal Journal of the Indonesian Mathematical Society ANWARUL: Jurnal Pendidikan dan Dakwah
Niswah Qonita
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Religion Education Mathematics Social Sciences Other

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Hamiltonicity and Eulerianity of Some Bipartite Graphs Associated to Finite Groups Niswah Qonita; Yeni Susanti
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1319.166-176

Abstract

Let G be a finite group. Associate a simple undirected graph Γ_G with G, called bipartite graph associated to elements and cosets of subgroups of G, as follows : Take G ∪ S_G as the vertices of Γ_G, with S_G is the set of all subgroups of a group G and join two vertices a ∈ G and H ∈ S_G if and only if aH = Ha. In this paper, hamiltonicity and eulerianity of Γ_G for some finite groups G are studied. In particular, it is obtained that for any cyclic group G, Γ_G is hamiltonian if and only if |G| = 2 and Γ_G is eulerian if and only if |G| is even non-perfect square number. Also, we prove that Γ_Dn is eulerian if k is even and n = 2k and for some other cases of n, Γ_Dn is not eulerian.
Implementasi Game Based Learning untuk Meningkatkan Hasil Belajar Siswa MA Mamba’ul Ulum Megaluh Jombang Riska Fatimatus Janah; Ovidelya Ningsa Pradani; Niswah Qonita; Iin Baroroh Ma'arif
ANWARUL Vol 6 No 1 (2026): FEBRUARI
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/anwarul.v6i1.9221

Abstract

The low learning outcomes in Fiqih are still largely associated with conventional teaching methods that limit active student participation, thereby highlighting the need for the implementation of innovative, game-based instructional strategies. This study aimed to analyze the effect of Game-Based Learning (GBL) on the learning outcomes of Grade XI students at MA Mamba’ul Ulum Megaluh Jombang in the topics of marriage and divorce. A quantitative approach was employed using a pre-experimental one-group pretest–posttest design, involving 37 students as research participants and conducted in May 2025. Data were collected through pretest and posttest achievement tests and analyzed using the Kolmogorov–Smirnov normality test and paired t-test. The results showed a significant improvement in learning outcomes following the implementation of GBL (p = 0.01 < 0.05), with higher posttest mean scores compared to pretest scores, indicating a positive effect of GBL on Fiqih learning outcomes. The implementation of Game-Based Learning in this study was structured by incorporating elements of challenge, collaboration, and a scoring system to foster active student engagement, thereby not only enhancing cognitive aspects but also creating a more participatory and interactive learning environment. These findings affirm that GBL is a viable and effective instructional strategy in Islamic education to improve conceptual understanding and student engagement in Fiqih.
Co-Authors Iin Baroroh Ma&#039;arif Ovidelya Ningsa Pradani Riska Fatimatus Janah Yeni Susanti