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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi JMM (Jurnal Masyarakat Mandiri) JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Masyarakat Merdeka (JMM) Indonesian Journal of Combinatorics Jurnal Pengabdian Masyarakat IPTEKS JUSTINDO (Jurnal Sistem dan Teknologi Informasi Indonesia) Kontribusia : Research Dissemination for Community Development Community Development Journal: Jurnal Pengabdian Masyarakat Discovery : Jurnal Ilmu Pengetahuan Journal of Mathematics Education and Science Journal of Community Development BIOS : Jurnal Teknologi Informasi dan Rekayasa Komputer Journal of Social Outreach MIMBAR INTEGRITAS AL-UMRON: Jurnal Pengabdian kepada Masyarakat International Journal of Trends in Mathematics Education Research (IJTMER) Jurnal Aplikasi Sistem Informasi dan Elektronika Jurnal Pengabdian Indonesia Center of Education Journal (CEJou) Jurnal Pengabdian Masyarakat Manage ABDIMASTEK Computing and Information System Journal Teknologi : Jurnal Ilmiah Sistem Informasi
Umilasari, Reni
Universitas Muhammadiyah Jember
Religion Agriculture, Biological Sciences & Forestry Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Nursing Public Health Social Sciences Other

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Journal : indonesian journal of combinatorics

 1 
Dominating number of distance two of corona products of graphs Reni Umilasari; Darmaji Darmaji
Indonesian Journal of Combinatorics Vol 1, No 1 (2016)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (180.088 KB) | DOI: 10.19184/ijc.2016.1.1.5

Abstract

Dominating set $S$ in graph $G=(V,E)$ is a subset of $V(G)$ such that every vertex of $G$ which is not element of $S$ are connected and have distance one to $S$. Minimum cardinality among dominating sets in a graph $G$ is called dominating number of graph $G$ and denoted by $\gamma(G)$. While dominating set ofdistance two which denoted by $S_2$ is a subset of $V(G)$ such that every vertex of $G$ which is not element of $S$ are connected and have maximum distance two to $S_2$. Dominating number of distance two $\gamma_2(G)$ is minimum cardinality of dominating set of distance two $S_2$. The corona $G \odot H$ of two graphs $G$ and $H$ where $G$ has $p$ vertices and $q$ edges is defined as the graph G obtained by taking one copy of $G$ and $p$ copies of $H$, and then joining by an edge the $i-th$ vertex of $G$ to every vertex in the $i-th$ copy of $H$. In this paper, we determine the dominating number of distance two of paths and cycles. We also determine the dominating number of distance two of corona product of path and any graphs as well as cycle and any graphs.
Co-Authors Afkar Ayyasy Agil Dwi Saputra Agung Nilogiri Arifianto, Deni Aurelia Agustin Sans Azhar, Reza Fachruddin Camerino, Wellen Cetta Ugama Putra Chaidir, Reza Daffa, Clarence Daffa Rizqullah Dasuki, Moh. Deviyati, Mike Yurike Dita Dimas Pradana Dody Wahyu Wirawan Dwi Putri Pramudiya Eko Wahyudi Erna Cholida, Ferdy Maulana Fadholy, Rizal Agung Ginanjar Abdurrahman Hadi Jatmiko Ikrimatul Wilda Lorenza Ilanka Cahya Dewi Imam Rosadi Irawan, Dudi Isnawati Lujeng Lestari Leny Septianingrum Liliek Susilowati Moh Dasuki Moh. Mahdi Sya’bani Muchtar, Nabillah Ufairoh Mufarida, Nely Ana Muhammad Zainur Ridlo Mukti Sintawati Nanang Saiful Rizal Nurhalimah Nurhalimah Oktavianto, Hardian Prabhu, Savari Prianggi, Devi Putri Putranto, Bima Arya Qurrota A’yun Rahman, Miftahur Rahman, MIftahur Reza Fachruddin Azhar S Slamin Sahiruddin Sahiruddin Saifudin, Ilham Savana, Bella Risma Khailla Septiara, Dhea Intan Sya?bani, Moh. Mahdi Teguh Mutawaffi H.F. Triawan Adi Cahyanto Wibisono, Yusub Winahyu, Pawestri Zakiyah, Amalina Maryam Zakiyyah, Amalina Maryam Zakiyyah, Amalina Maryam Zakiyyah, Amalina Masyam