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Journal : Sigma

Metric Dimension of the Pinwheel Subdivision Graph K_1+mK_3 Sugiarty, Vetty; Amrullah, Amrullah; Hikmah, Nurul
Sigma&Mu: Journal of Mathematics, Statistics and Data Science Vol. 3 No. 1 (2025): March
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/sigmamu.v3i1.251

Abstract

Metric dimension is an important concept in graph theory that is widely used in various fields, including navigation, network localization, and network design. The concept of metric dimension is the concept of determining the least marker vertex so that each vertex in the graph is distinguished from each other. The purpose of this research is to determine the metric dimension of the pinwheel subdivision graph ????1+????????3. The type of research used is pure research. By using graph structure and vertex distance analysis, this paper shows the value of the metric dimension of the subdivision graph ????(????,????), specifically on the pinwheel graph ????=????1+????????3 for 2≤????≤4. The results show that the metric dimension of the pinwheel subdivision graph ????1+????????3 is one less than the metric dimension of the pinwheel graph before subdivision, ????????????(????(????,????))=????????????(????)−1.
Co-Authors Abda Abda Abdul Haris Munandar Abi Rizky, Muhammad Abida Wadiatun Ilahi Afandi, Noval Afifurrahman Afifurrahman Ahmad Badawi Aliyatul Himmah Amelia Kusuma Andri Okta Firmansyah Anna Citra Islamiyah Annisa Annisa Arifuddin Arifuddin Arjudin Arjudin Arjudin Arjudin Atiqa Firdaus Aulia, Syafa Awwalus Sanatil Hijriati Baehaqi Baidowi Baidowi Baiq Anita Rahayu Bisriyah, Bisriyah Bq. Nerik Prawita Caesarla Elintang Yolawati Dadi Setiadi Darajatul Khunul Khotimah Darojatun Fikri Dedi Riyan Rizaldi Deni Deni Deni Hamdani Dian Endang Lestari Eka Kurniawan Eka Kurniawan Ekky Irza Afriansyah Ery Nurjayanto Fadila, Kasturi Anisa Farizal Ramadhan Farizal Wahyu Trigantara Faturahman Faturahman Feby Attina Sari Firdaus, Atiqa Firmansyah, Didi Gossani Puja Lestari H. Lalu Nurtaat Hadisaputra, S. Hapipi Hapipi Hardika Budianto Harry Soeprianto Harry Soeprianto Harry Soeprianto Hasan, Riska Rahmawati Hendi, Muhammad Herman Firdaus Hidayah, Khulaeni Hidayatul Hidayanti, Gusma I MADE SUJANA . I Nyoman Sridana I. M. Sujana Iftahul Muhayana Ikrimatullael Ikrimatullael Ilhamdi, M. L. Jihan Fahira Juliyanti Juliyanti Junaidi Junaidi Junaidi Junaidi Junaidi Junaidi Ketut Sarjana Ketut Sarjana KETUT SARJANA, KETUT Kurniawan, Eka Laila Hayati Laila Hayati Laila Hayati, Laila Laili Gadis Hasanah Lalu Nurtaat Lalu Riki Gita Sukma M. Khairul Miswari M. L. Ilhamdi M. Satria Ramanda Maksud, Maksud Mar'atun Atun Mariamah Mariamah Maulyda, ‪Mohammad Archi Muh. Makhrus Muhammad Arifuddin Muhammad Fadjri Muhammad Turmuzi Muhammda Faisal Khatami Muntari Muntari Muslim Muslim Nani Kurniati Nani Kurniati Nani Kurniati Ni Made Ayu Ulandari Ni Made Intan Kertiyani Nilwan Nina Muthmainnah Nopyta Intan Sari Nourma Nourma Nourma Pramestie Wulandari Nur Asniati Nurdianti Nurdianti NURUL HIKMAH Nurul Hikmah Nurul Hikmah Nurul Indah Nurul Pratiwi Nyoman Sridana Nyoman Sridana Nyoman Sridana Prayitno S Primajati, Gilang Purnamasari, Erni Putri Husnul Khotimah Rahmani , Irma Reksa Haniantara Richard Yesaya Simanjuntak Ridha Wahidatul Ilmi Riki Tarnanda S. Hadisaputra Salsabila, Nilza Humaira Sangga Patih Alam Septiyana Kurnia Hartatin Sinta Baiq Sinta Silviana Muslim Sri Romlawati Sri Seno Handayani Sri Seno Handayani Sri Subarinah Sri Subarinah Sri Subarinah Sri Subarinah Sri Subarinah, Sri Sri Subarinah4 Sridana Sridana Sripatmi Sripatmi Sripatmi Sripatmi Sripatmi Sripatmi, Sripatmi Suci Fatmala Sari Sudi Prayitno Sudi Prayitno Sugiarty, Vetty Sujana, I. M. Syahrul Azmi Syahrul Azmi Syahrul Azmi Syarifah Umdah Maryam Syawahid, M Tabita Wahyu Triutami Tabita Wahyu Triutami Tri Rahayu Agustina Udin Udin Ulfa Lu’luilmaknun Ulfa Lu’luilmaknun Wahidaturrahmi Wahidaturrahmi, Wahidaturrahmi Widiati Wulandari, Nourma Pramestie Zanirah Permatasari Ziadatul Fatimah