CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS
Vol 3, No 1 (2022): CGANT JOURNAL OF MATHEMATICS AND APPLICATIONS

Pewarnaan Pelangi Antiajaib pada Amalgamasi Graf

Riniatul Nur Wahidah (Universitas Jember)
Dafik Dafik (Universitas Jember)
Ermita Rizki Albirri (Universitas Jember)



Article Info

Publish Date
30 Jul 2022

Abstract

Let $G$ is a connected graph with vertex set $V(G)$ and edge set $E(G)$. The side weights for $uv\in E(G) $ bijective function $f:V(G)\rightarrow\{1,2,\dots, |V(G)|\}$ and $ w(uv)= f(u)+f(v) $ . If each edge has a different weight, the function $f$ is called an antimagic edge point labeling.  Is said to be a rainbow path, if a path $P$ on the graph labeled vertex $G$ with every two edges $ ,u'v'\in E(P) $ fulfill  $ w(uv)\neq w(u'v') $. If for every two vertices $u,v \in V(G)$, their path $uv$ rainbow, $f$ is called the rainbow antimagic labeling of the graph $G$. Graph G is an antimagic coloring of the rainbow if we for each edge $uv$ weight color side  $w(uv)$. The smallest number of colors induced from all sides is the rainbow antimagic connection number $G$, denoted by $rac(G)$. This study shows the results of the rainbow antimagic connection number from amalgamation graph.

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Journal Info

Abbrev

cgant

Publisher

Subject

Computer Science & IT Other

Description

Subjects suitable for publication include, the following fields of: Degree Diameter Problem in Graph Theory Large Graphs in Computer Science Mathematical Computation of Graph Theory Graph Coloring in Atomic and Molecular Graph Labeling in Coding Theory and Cryptography Dimensions of graphs on ...