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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Jusmawati Massalesse
Departemen Matematika, Universitas Hasanuddin, Makassar, Indonesia
Humanities Education Engineering Mathematics Public Health Other

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Partition Dimension of the Sum Product of Complete Graph K_1 and Saw Graph GR_n Jusmawati Massalesse; Dermawan Saputra; Naimah Aris
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.32376

Abstract

Let   and  let denote the distance between dan . The distance of  to a subset  is denote by  where  Furthermore, suppose   is an ordered partition with  for  then the representation of a vertex  with respect to  is the ordered k-tuple dinoted by . The partition  is called a distinguishing partition of  if  for every .   A distinguishing partition of  with the smallest cardinality is called the minimum distinguishing partition of , and its cardinality is called the partition dimension of . The purpose of this study is to determine the partition dimension of the join graph  and . By applying the concepts of equivalent vertices and vertices of the same level, it is shown that the partition dimension of the graph  is  where  is a natural number.
Co-Authors A.A. Ketut Agung Cahyawan W Afifah Afifah Ainun Mawaddah Abdal Alfiana Wahyuni Amir Kamal Amir Andi Kresna Jaya Anisa Anisa Anisa Anisa Anna Islamiyati Anna Islamiyati Aswad Hariri Mangalaeng Azis, Moh. Ivan Budi Nurwahyu Dermawan Saputra Edy Saputra Rusdi Faisal Faisal Firman Firman Haryanto, Loeky Hasmawati Basir Heryati Nur Fatimah Sari I Gusti Agung Komang Diafari Djuni Hartawan Indi Ria Al Kadry Irma Andriani Islamiyah Abbas Jaya, A. Kresna Kasbawati Kasbawati Khaeruddin Khaeruddin Mahie, Andi Galsan Muh. Ali Imran Muh. Nur Muh. Nur Muralia Hustim Naimah Aris Naimah Aris Naimah Aris Naimah Aris Naimah Aris Najhah Aris Nasrah Sirajang Nur Erawaty Nur Erawaty Nurdin Nurdin Okta Nofri Ramadhan, Muh. Nur Bahri Raupong, Raupong Raupong, Raupong Sahriman, Sitti Sirajang, Nasrah Sitti Sahriman Sri Astuti Thamrin Wahda, Wahda Wahyuni, Alfiana