BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan

RAINBOW CONNECTION NUMBER AND TOTAL RAINBOW CONNECTION NUMBER OF AMALGAMATION RESULTS DIAMOND GRAPH(〖Br〗_4) AND FAN GRAPH(F_3)

Sumarno Ismail (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Isran K. Hasan (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Tesya Sigar (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)
Salmun K. Nasib (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo)

Article Info

Publish Date
21 Mar 2022

Abstract

If be a graph and edge coloring of G is a function , rainbow connection number is the minimum-k coloration of the rainbow on the edge of graph G and denoted by rc(G). Rainbow connection numbers can be applied to the result of operations on some special graphs, such as diamond graphs and fan graphs. Graph operation is a method used to obtain a new graph by combining two graphs. This study performed amalgamation operations to obtain rainbow connection numbers and rainbow-total-connection numbers in diamond graphs ( ) and fan graphs ( ) or . Based on the research, it is obtained that the rainbow-connection number theorem on the amalgamation result of the diamond graph ( ) and fan graph ( is with . Furthermore, the theorem related to the total rainbow-connection number on the amalgamation result of the diamond graph( ) and the fan graph ( is obtained, namely with .

Copyrights © 2022




Citation Download
RIS
EndNote, Reference Manager, ProCite
BibTex
Latex, Jabref
Full PDF
980.35 KB
Original Source
Download Original
Google Scholar
Check in Google Scholar
Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...