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Journal : Jurnal Matematika UNAND

SOFT GRAPHS OF THE BARBELL STAR GRAPH Helmi, Monika Rianti; Sy, Syafrizal; Nazra, Admi; Muhafzan; Hanifa, Nurul; Alfiany, Noverina
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.366-375.2025

Abstract

\textit{Let $G^*=(V(G^*),E(G^*))$ is a simple graph and $A$ be a non-empty set of parameter. Let $R\subseteq A\times V(G^*)$ be a arbitrary relation from $A$ to $V(G^*)$. A mapping $F:A\to P(V(G^*))$ can be defined as $F(x)=\left\{y\in V\mid xRy \right\}$ and a mapping $K:A\to P(E(G^*))$ can be defined as $K(x)=\left\{uv\in E\mid \left\{u,v\right\}\subseteq F(x)\right\}$. A pair $(F,A)$ and $(K,A)$ are soft sets over $V(G^*)$ and $E(G^*)$ respectively, then $(F(a),K(a))$ is a subgraph of $G^*$. The 4-tuple $G=(G^*,F,K,A)$ is called a soft graph of $G$. In this paper, we enumerate soft graph of amalgamation of path and star.}
Co-Authors Adha, M. Radiva Admi Nazra Alataf, Azahrah Aprila Alfiany, Noverina Ardiyansah, Ari Arisetyawan, Kukuh Armes, Deya Awary, Nadiah Azhar, Nur Azirah Zahida Mohamad Cynthia, Dian Ayu Dhiarama, Rayhan Aflah Dhuha, Nur Adh Dori Yuvenda Ernidawati, Ernidawati Eviana Hutabarat, Ruth Fakhruddin Fakhruddin Faradilla, Silvia Faris, Moh. Febriani, Egia Febriani, Rahmi Dwi Fitri Yanti Galuh Asri, Yohandini Adinda Gussaf, Saskia Amanda Hafiz Hidayat Hafiz Hidayat Handayani, Nurvia Hasanuddin Hasanuddin Hasjim, Alifya Farahusna Putrie Helmi, Monika Rianti Hendry Cahyono Humayroh, Dinda Husnul Khotimah Idris Idris iman, Khairul Inayah, Nisywatul Kharisma, Safa Ladi Wajuba Perdini Fisabilillah LUCKY RACHMAWATI Maharani, Intan Mahendra, Rafi Atha Malayani, Bela Mawaddah, Ira Mite Nage, Gregorius Gery Muhafzan Nabibah, Emilia Titah Nasution, Indra Pernanda Putra Neni Hermita Nilasari, Aprillia Ningsih, Winda Prasetia Perdini Fisabilillah, Ladi Wajuba Pratama, Thomas Kurnia Puji Gusri Handayani PURWANDARI, Siti PUTRI, RIZKA NOVITA Rabbani, Muhammad Arkan Rachmadi, Annas Dwi Ridho, Fadilur Risqi Noor Hidayati Putri Rosanty, Nabilah Rowena, Evin Framudita Sari, Nur Tho'atika Satria, Defni Setianingrum, Helvy Fatima Shakil, Nurul Syifaa Mohd Sihombing, Yogi Hasan Siregar, Sari Wahyuni Solekha, Sheptia Dwi Imroatus Solicha, Firda Armaatus Syafrizal Sy, Syafrizal Tobing, Natalia Wedina Tony Seno Aji TRIAVE NUZILA ZAHRI Wajuba Perdini Fisabilillah, Lady Wasil, Mohammad Wati, Almustika Wenny Restikasari Wiguna, M. Alfatah Putra Yunita, Milla Yustika, Ira Zahren, Zahren Zainuddin, Ahmad Zuhairi Zelita, Nuri Zulkarnain Zulkarnain