ON RAINBOW ANTIMAGIC COLORING OF SNAIL GRAPH(S_n ), COCONUT ROOT GRAPH (Cr_(n,m) ), FAN STALK GRAPH (Kt_n ) AND THE LOTUS GRAPH(Lo_n )

  • R Adawiyah Mathematics Education Program, Faculty of Teacher Training and Education, University of Jember, Indonesia
  • I I Makhfudloh Mathematics Education Program, Faculty of Teacher Training and Education, University of Jember, Indonesia
  • Dafik Dafik Mathematics Education Program, Faculty of Teacher Training and Education, University of Jember, Indonesia
  • RM Prihandini Mathematics Education Program, Faculty of Teacher Training and Education, University of Jember, Indonesia
  • AC Prihandoko Computer Science Study Program, Faculty of Computer Science, University of Jember, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss3pp1543-1552
Keywords: Rainbow antimagic connection number, snail graph, coconut root graph, fan stalk graph, lotus graph

Abstract

Rainbow antimagic coloring is a combination of antimagic labeling and rainbow coloring. Antimagic labeling is labeling of each vertex of the graph  with a different label, so that each the sum of the vertices in the graph has a different weight. Rainbow coloring is part of the rainbow-connected edge coloring, where each graph  has a rainbow path. A rainbow path in a graph is formed if two vertices on the graph  do not have the same color. If the given color on each edge is different, for example in the function it is colored  with a weight , it is called rainbow antimagic coloring. Rainbow antimagic coloring has a condition that every two vertices on a graph cannot have the same rainbow path. The minimum number of colors from rainbow antimagic coloring is called the rainbow antimagic connection number, denoted by  In this study, we analyze the rainbow antimagic  connection number of snail graph , coconut root graph , fan stalk graph  and lotus graph .

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Published
2023-09-30
How to Cite
[1]
R. Adawiyah, I. Makhfudloh, D. Dafik, R. Prihandini, and A. Prihandoko, “ON RAINBOW ANTIMAGIC COLORING OF SNAIL GRAPH(S_n ), COCONUT ROOT GRAPH (Cr_(n,m) ), FAN STALK GRAPH (Kt_n ) AND THE LOTUS GRAPH(Lo_n )”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1543-1552, Sep. 2023.
Issue
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 R Adawiyah, I I Makhfudloh, Dafik Dafik, RM Prihandini, AC Prihandoko

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