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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Prihandini, Rafiantika M.
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Mathematics

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On The Local Edge Antimagic Coloring of Corona Product of Path and Cycle Aisyah, Siti; Alfarisi, Ridho; Prihandini, Rafiantika M.; Kristiana, Arika Indah; Christyanti, Ratna Dwi
CAUCHY Vol 6, No 1 (2019): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (716.577 KB) | DOI: 10.18860/ca.v6i1.8054

Abstract

Let  be a nontrivial and connected graph of vertex set  and edge set  . A bijection  is called a local edge antimagic labeling if for any two adjacent edges  and , where for . Thus, the local edge antimagic labeling induces a proper edge coloring of G if each edge e assigned the color  . The color of each an edge e = uv is assigned bywhich is defined by the sum of label both and vertices  and  . The local edge antimagic chromatic number, denoted by  is the minimum number of colors taken over all colorings induced by local edge antimagic labeling of   . In our paper, we present the local edge antimagic coloring of corona product of path and cycle, namely path corona cycle, cycle corona path, path corona path, cycle corona cycle.Keywords: Local antimagic; edge coloring; corona product; path; cycle.
Co-Authors Arika Indah Kristiana Ratna Dwi Christyanti, Ratna Dwi Ridho Alfarisi, Ridho Siti Aisyah