CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 6, No 1 (2019): CAUCHY: Jurnal Matematika Murni dan Aplikasi

On The Local Edge Antimagic Coloring of Corona Product of Path and Cycle

Aisyah, Siti (Unknown)
Alfarisi, Ridho (Unknown)
Prihandini, Rafiantika M. (Unknown)
Kristiana, Arika Indah (Unknown)
Christyanti, Ratna Dwi (Unknown)



Article Info

Publish Date
04 Dec 2019

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.

Copyrights © 2019






Journal Info

Abbrev

Math

Publisher

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...