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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Riset dan Kajian Pendidikan Fisika FKIP e-PROCEEDING Momentum: Physics Education Journal Pendas : Jurnah Ilmiah Pendidikan Dasar Dedication : Jurnal Pengabdian Masyarakat Jurnal Caksana: Pendidikan Anak Usia Dini Jurnal Riset Pendidikan Fisika Mitra Ash-Shibyan: Jurnal Pendidikan dan Konseling Ceria: Jurnal Program Studi Pendidikan Anak Usia Dini Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran Integrated Science Education Journal Nusantara: Jurnal Pendidikan Indonesia Dharmas Education Journal (DE_Journal) Jurnal Kajian Ilmu Pendidikan (JKIP) PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Dedication : Jurnal Pengabdian Masyarakat Education Journal: Journal Educational Research and Development Widya Kumara: Jurnal Pendidikan Anak Usia Dini JECIE (Journal of Early Childhood and Inclusive Education) Teaching, Learning, and Development Journal of Education Technology and Inovation
Siswono, Hendrik
Universitas Argopuro Jember
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Languange, Linguistic, Communication & Media Mathematics Physics Public Health Social Sciences Other

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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

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On The Metric Dimension of Some Operation Graphs Marsidi, Marsidi; Agustin, Ika Hesti; Dafik, Dafik; Alfarisi, Ridho; Siswono, Hendrik
CAUCHY Vol 5, No 3 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (782.001 KB) | DOI: 10.18860/ca.v5i3.5331

Abstract

Let  be a simple, finite, and connected graph. An ordered set of vertices of a nontrivial connected graph  is  and the -vector  represent vertex  that respect to , where  and  is the distance between vertex  and  for . The set  called a resolving set for  if different vertex of  have different representations that respect to . The minimum of cardinality of resolving set of G is the metric dimension of , denoted by . In this paper, we give the local metric dimension of some operation graphs such as joint graph , amalgamation of parachute, amalgamation of fan, and .
Co-Authors Aprilia, Samhah Taurisa ASHADI, FIRMAN Asri, Nur Astuti, Soekma Yeni Aswit Sandra Barata, Mahendra Cahyono , Arie Eko Cahyono, Arie Eko D. Dafik Eky Prasetya Pertiwi Febrianti, Novita Ayu Ianatuz Zahro Ika Hesti Agustin, Ika Hesti Indah Fitriani Ino Angga Putra Kharismawati , Indah Laila, Sofi Nur Marsidi Marsidi Maulanasari, Devi Maulidiya, Siti Mayrinda, Siti Mochammad Maulana Trianggono Muhammad Subhan Naimah, Rofita Nur Lailatul Maghfiroh Nuriyah, Nikmatin Pascalian Hadi Pradana Pratiwi , Dika Ning Pratiwi , Reza Yunita Putri, Anandita Purwanto Ratnasari Dwi Ade Chandra Ridho Alfarisi, Ridho Rully Putri Nirmala Puji Sari, Eka Puspita Kartika Sri Wahyuni Suci Prihatiningtyas Sugiarto, Muhammad Agus Sulistioningrum sumiati, ika dewi Supriyono Koes Handayanto Suswati, Lis Uyun, Fahrotul Wartono Wartono Widiyanti , Bela Putri Zahro , Ianatuz Zahro, Ianatuz Zahro Zakaria Sandy Pamungkas Zama , Berliana Nandya Zusfindhana, Inna Hamida