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I Ketut Budayasa

Universitas Negeri Surabaya

Author-ID : 243532

Religion Arts Humanities Automotive Engineering Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Library & Information Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Pelabelan Harmonis Pada Beberapa Kelas Graf Takhingga Salsabilla Lovina; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 03 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v13n3.p220-230

Pelabelan dalam teori graf merupakan metode pemberian label atau nilai pada titik atau sisi atau keduanya. Pelabelan harmonis adalah suatu pelabelan fungsi f:V(G)→Z, yang memetakan setiap titik dalam graf ke bilangan bulat sedemikian rupa sehingga label setiap titik adalah rata-rata dari label titik tetangganya, yaitu f(v)=1/(d(v)) ∑_(u∈N(v))▒〖f(u)〗. Pelabelan harmonis juga harus bersifat injektif, yaitu setiap titik diberi label yang unik, serta surjektif, yaitu setiap bilangan bulat yang dibutuhkan dapat digunakan, baik pada graf hingga maupun takhingga. Pada graf takhingga, aturan ini dapat dipastikan secara lokal di setiap lingkungan titik tanpa harus memperhitungkan seluruh struktur takhingga secara keseluruhan. Artikel ini membahas mengenai pelabelan harmonis pada graf takhingga. Keberadaan titik pendant merupakan syarat cukup bagi graf takhingga tidak memiliki pelabelan harmonis, namun bukan syarat perlu. Selain itu, graf G tetap memiliki pelabelan harmonis meskipun semua label digeser dengan konstanta atau diberi tanda negatif. Beberapa kelas graf yang dianalisis mencakup graf bintang B(n), pohon takhingga beraturan-k, produk kartesius graf, serta pengkuadratan graf.

Family intervention program for autism Amira, Luqyana Dhiya; Wagino, Wagino; Budayasa, I Ketut; Yuliyati, Yuliyati
COUNS-EDU: The International Journal of Counseling and Education Vol. 6 No. 2 (2021)
Publisher : Indonesian Institute for Counseling, Education, and Therapy & Indonesian Counselor Association

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23916/0020210633520

Interventions can minimize the impact of developmental barriers on autism. Inconsistent interventions result in behavioral deterioration. Parents have a big role to provide consistent intervention to children. This study aims to review home intervention programs that family can do at home. The research method used is a literature review. The data collection method used is the literature related to home-based autism interventions and family intervention. The results of the study show several programs that can be applied by families at home. The results showed the intervention models that can be done by family are ABA, PLAY, dan TEACCH. Through this study, it can be concluded that ABA is the most effective technique that can be used as a basis for implementing family interventions. Comprehensive interventions are also highly recommended for home interventions, such as modifying the environment and providing preschool life skills.

Uncovering Gender-Role Differences in Reflective Thinking: A Qualitative Study of Prospective Teachers Solve Open-Ended Mathematics Problems Zainal Abidin; I Ketut Budayasa; Siti Khabibah
International Journal of Research and Community Empowerment Vol. 4 No. 2 (2026): August 2026
Publisher : Mitra Edukasi dan Publikasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58706/ijorce.v4n2.p93-103

Reflective thinking is a critical cognitive process that supports students in analysing, monitoring, and evaluating their reasoning when solving mathematical problems. This study aims to reveal differences in prospective teachers’ reflective thinking when solving open-ended mathematics problems. This qualitative case study involved two prospective teachers representing masculine male and feminine female gender-role orientations. Subjects were selected based on a gender questionnaire and mathematical ability. Instruments included a gender questionnaire, problem-solving tasks, and semi-structured interviews. Data were analysed through classification, reduction, presentation, interpretation, and conclusion drawing, with credibility ensured through time triangulation. The results indicate that the masculine male participant demonstrated a more systematic and complete reflective thinking profile, articulated logical justifications, and explored alternative strategies. In contrast, the feminine female participant presented incomplete and unsystematic steps, with limited logical reasoning and strategic variation. These findings show that gender-role orientation qualitatively influences reflective thinking in solving open-ended problems. This study contributes to Sustainable Development Goal 4 (Quality Education) by providing insights for designing gender-responsive and adaptive mathematics instruction to strengthen prospective teachers’ reflective thinking and promote equitable learning quality.

STRUKTUR GRAF DENGAN BARISAN DERAJAT {(m-1)^m,(n-1)^n } dan {m^n,n^m } Astri Widyawati Sulistyo Cahyani; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 02 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

A graph consists of a set of vertices and a set of edges . One of the essential aspects of a graph is the degree sequence, which represents the degrees of vertices and provides a concise summary of the graph’s characteristics. This study examines graphs with the degree sequence where vertices each have a degree of and vertices each have a degree of . This graph is degree-equivalent to the complete graph but not isomorphic to it, denoted as . Meanwhile, the complement of this graph, denoted as , has the degree sequence , which is degree-equivalent to the bipartite graph but is not isomorphic to it. In this paper, we prove the characteristics of these graphs, including connectivity, the existence of cut vertices and cut edges, as well as Hamiltonian properties, with and pancyclic properties. Keywords: Degree-equivalent, Degree sequence, Hamiltonian, Pancyclic

New Insights into Probabilistic Thinking: A Study of Cognitive Styles and Probability Problem-Solving among Masculine Male Students Supratman; Enda budi rahaju; I Ketut Budayasa
International Journal of Ethno-Sciences and Education Research Vol. 6 No. 2 (2026): International Journal of Ethno-Sciences and Education Research (IJEER)
Publisher : Research Collaboration Community (Rescollacom)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijeer.v6i2.1268

This study investigated a new insight into the probabilistic thinking of male mathematics education students with Field-Independent cognitive style. One student with masculine male and a Field-Independent cognitive style (MLI) based on the GEFT test and a gender questionnaire, while also considering mathematical ability assessed through UTBK SBMPTN questions. From 20 students with medium-level mathematical ability, MLI was chosen to participate in a probability problem-solving test conducted at the Faculty of Teacher Training and Education, Universitas Sembilanbelas November Kolaka. This research employed a descriptive qualitative method with a case study design. The results indicate that MLI's probabilistic thinking is highly proficient. Based on Polya’s four problem-solving stages, MLI effectively identified given information, recorded data accurately, and answered in a structured manner, although he did not explicitly write the combination formula or binomial distribution. In the "looking back" stage, while MLI did not rewrite the final answer, interviews confirmed that he had rechecked his work, verifying each step to obtain the correct probability value

RELATIONAL REASONING IN MATHEMATICAL PROBLEM SOLVING: A STUDY OF HIGH SCHOOL STUDENTS WITH IMPULSIVE AND REFLECTIVE COGNITIVE STYLES Nur Shuhufil Ula; I Ketut Budayasa; Rini Setianingsih
Prima: Jurnal Pendidikan Matematika Vol. 10 No. 3 (2026): PRIMA : Jurnal Pendidikan Matematika
Publisher : FKIP Universitas Muhammadiyah Tangerang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31000/yeheds69

Relational reasoning plays an important role in mathematical problem solving because it allows students to logically connect facts, concepts, principles, and operations to obtain meaningful solutions. However, students still tend to rely on memorized procedures without understanding the relationships between mathematical objects, thus experiencing difficulties in planning and justifying problem solving. This study aims to describe the relational reasoning of high school students with impulsive and reflective cognitive styles in solving mathematical problems on the topic of Three Variable Linear Equation Systems (TVLES). The study used a descriptive qualitative approach with a case study design. The research subjects consisted of two eleventh grade students who had average mathematical abilities and represented impulsive and reflective cognitive styles based onMatching Familiar Figures Test (MFFT). Data were collected through problem solving task (PST) based interviews, validated with time triangulation, and analyzed using the analysis model of Miles et al. (2014). The results showed that both subjects were able to build relationships between facts, concepts, principles, and operations at each stage of Polya's problem solving. However, the characteristics of the reasoning process shown were different. Reflective students understood the problem more carefully, considered alternative strategies, and implemented solutions systematically, while impulsive students worked faster, provided more concise justifications, and corrected errors through trial and error. The research findings indicate that cognitive style influences the characteristics of the relational reasoning process in building and explaining relationships between mathematical objects at each stage of problem solving. The results of this study provide an overview of the characteristics of students' relational reasoning that can be used as a basis for designing mathematics learning that is more appropriate to students' cognitive characteristics. Keywords: Cognitive Style, Impulsive, Mathematical Problem Solving, Reflective, Relational Reasoning

The Abstraction Of Masculine Male Student With Field-Independent Cognitive Style In Reconstructing The Concept Of Cuboid Henry Putra Imam Wijaya; I Ketut Budayasa; Agung Lukito
Enrichment: Journal of Multidisciplinary Research and Development Vol. 3 No. 1 (2025): Enrichment: Journal of Multidisciplinary Research and Development
Publisher : International Journal Labs

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55324/enrichment.v3i1.350

This study has relevance because it helps to explain how the abstraction of junior high school students in reconstructing the concept of blocks. This study aims to describe the abstraction of masculine male junior high school students with an independent field cognitive style in reconstructing the concept of blocks. The research method used is qualitative descriptive. Data was obtained through task-based interviews and observations of student activities reconstructing the concept of blocks. All data is analyzed following the stages of reduction, data presentation, and conclusion drawing. The study found that the AF subjects of grade IX students, masculine males with a fieldindependent cognitive style took three of Piaget's abstractions when reconstructing the concept of beams. In empirical abstraction, the subject is able to group objects blocks and non-blocks by mentioning the characteristics of six planes, twelve ribs, and eight corner points. Turning to semi-empirical abstraction, the accuracy of the classification improves when faced with a 2D image. In reflective abstraction the subject formulates a formal definition of the block, places the cube as a special case, and relates the concept to everyday objects. Theoretically, the results of the study reinforce the idea that understanding mathematics, especially geometry, develops through stages

Pelabelan Harmonis Ganjil Kuat Beberapa Kelas Graf Juwita Marlinda Sari; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 03 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p328-338

Bilangan Kromatik Modular Beberapa Kelas Graf Planar Sukma Kusuma Ambarwati; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 03 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p349-359

Misalkan graf tanpa titik terasing. Titik pada graf , merupakan persekitaran titik . Jumlah warna pada di didefinisikan sebagai jumlah warna di , yaitu (mod ). Pewarnaan modular pada adalah sebuah fungsi , dengan dimana dalam untuk semua pasang titik dan yang berhubungan langsung pada . Bilangan kromatik modular adalah minimum dimana ada pewarnaan- modular pada yang dilambangkan dengan . Pada artikel ini dijelaskan tentang batas atas dan batas bawah dari bilangan kromatik modular suatu graf dan bilangan kromatik modular pada beberapa kelas graf planar yaitu graf Sikel , graf Pohon , graf Roda dan join dua graf . Kata Kunci: Pewarnaan modular, Bilangan kromatik modular, Graf Pohon, Graf Sikel, Graf Roda.

PELABELAN ANGGUN GRAF BERLIAN RANGKAP BERBINTANG, BEBERAPA KELAS GRAF POHON, DAN GRAF CORONA KHUSUS Lilla Afifah; I Ketut Budayasa
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 03 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p368-382

Pelabelan dari suatu graf adalah suatu pemetaan yang membawa setiap elemen graf yaitu himpunan sisi (edge) atau himpunan titik (vertex) ke bilangan bilangan bulat positif, yang disebut label. Sebuah fungsi disebut pelabelan anggun graf dengan m sisi jika adalah injektif dan fungsi terinduksi didefinisikan sebagai adalah bijektif. Graf yang mempunyai pelabelan anggun disebut graf anggun. Pada penelitian ini akan ditunjukkan konstruksi pelabelan anggun pada graf berlian rangkap berbintang , beberapa kelas graf pohon dan graf corona khusus (K_(n,n) ? K_1). Kata kunci: Pelabelan anggun, graf berlian rangkap berbintang, kelas graf pohon, graf K_(n,n) ? K_1. Labeling of a graph is a mapping that brings every graph element, namely the edge or vertex, to the positive integers, which is called label. A function f is called graceful labeling of graph G with m edge if is injective and induced function defined as is bijective. A graph that has graceful labeling is called a graceful graph. The construction of graceful labeling in the double-star diamond graph , some classes of tree graphs, and certain corona graph (K_(n,n) ? K_1) will be shown in this paper. Keywords: Graceful labeling, double-star diamond graph, class of tree graph, K_(n,n) ? K_1 graph.

Co-Authors ABADI Abadi Abadi Addinda Nur Ameliyah AFFIATI OKTAVIARINA Agis Sagita Widyaningrum AGUNG LUKITO Agung Lukito Agung Lukito Agung Lukito Agung Lukito Agung Lukito Nusantara Ahmad Isroil Ahmad Isroil, Ahmad Aisy Rohmah Najahy Mawaddah Altika Dwi Mawarni Syah Amira, Luqyana Dhiya Andi Mariani Ramlan ANGGAWATI IMANNIYAH ANGGRAINI SULISTYA, DITA Anggraini, Evi ANGGUN WARDHANI, DEVY Aning Wida Yanti Annisa Ajeng Kusumastuti ANNISA DWI KURNIAWATI Ardila Septiana Putri Arwanto Arwanto Astri Widyawati Sulistyo Cahyani Ayu Nur Hidayah A’yunin Sofro Budi Priyo Prawoto Budiyanto Budiyanto Dede de Haan DEVY ANGGUN WARDHANI Dewi, Karina Wahyu Dia Lestari Didik Sugeng Pambudi Dinda Anisa' Nur Fadlilah DITA ANGGRAINI SULISTYA Dooren Quintasari Dwi Ivayana Sari Dwi Ivayana Sari, Dwi Ivayana Dwi Juniati Dwi Juniati Dwi Juniati Dwi Juniati Dwi Juniati Dwi Pramesti, Retna Enda budi rahaju ENDANG PURBANINGRUM Endang Purbaningrum EVI ANGGRAINI E’en Rochaini Fatimatus Zahro Feny Rita Fiantika Fitriyanti, Fitriyanti Hengky, SH Henry Putra Imam Wijaya Hery Suharna Hidayah Ansori Hutrisah SM Sitohang I Wayan Puja Astawa Ida Dwijayanti Ismail IZDIHAR KAMILA RAHMATIKA SURYA CANDRA Jafar Jafar Jelang Ramadhan Juwita Marlinda Sari KAMILA RAHMATIKA SURYA CANDRA, IZDIHAR Karina Wahyu Dewi Kiki Henra Lathiful Anwar Latifah Nuryah Lilik Fepila Lilla Afifah Lingkan Rahmawati Loricha Dwi Reylawati Luqyana Dhiya Amira M. J. Dewiyani Sunarto Ma'allaili, Serlly Hindun Manuharawati MASRIYAH Masriyah Masriyah Maulana, Dimas Avian Mega Fatimah Rosana Mega Teguh Budiarto Megacelia Maharani Mia Saskia Miftakhul Jannah Misu, La Moh. Hafiyusholeh Mohammad Edy Nurtamam Mohammad Edy Nurtamam, Mohammad Edy Muhammad Afifuddin Nur Shuhufil Ula Otniel Sukma Priyambodo Pradana, Raditya Bagus Gilang RADEN SULAIMAN Raditya Bagus Gilang Pradana Rahaju, Endah Budi Ria Fibriana Sari Rini Setianingsih Rosdiana Rosdiana Rosdiana Rosdiana RUDIANTO ARTIONO, RUDIANTO Sabita Ellania Rahmah Saleh Saleh Saleh Saleh, Saleh Salsabila, Unik Hanifah Salsabilla Lovina Salwa Yuliantina Sari, Ria Fibriana Sely Purwanti Ningsih Septi Triyani Setianingsih, Rini Siti Khabibah Siti Maghfirotun Amin Siti Rois'satul Azmil Siti Suparmi Sri Joeda Andajani Sri Joeda Andajani Sri Subarinah St. Suwarsono Sukma Kusuma Ambarwati Supratman Supratman Syahda Fadhilah Rosmayanti Tatag Yuli Eko Siswono Umi Hanifah Wagino Wagino Wagino Wihda Urfita Syafiti Wulandari Lusnaini Yuliantina, Salwa Yuliyati Yuliyati Yuliyati Yuliyati, Yuliyati Yunianti, Dwi Nur Zahro, Fatimatus Zainal Abidin

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