On Rainbow Vertex Antimagic Coloring of Shell Related Graphs
- 10.2991/978-94-6463-138-8_3How to use a DOI?
- rainbow vertex coloring; rainbow vertex antimagic coloring; shell graph
A rainbow vertex antimagic coloring namely rainbow vertex coloring and antimagic labeling. For a bijective function , the associate weight of a vertex against f is , where E(v) is the set of vertices incident to v. The function f is known as vertex antimagic labeling if every vertex has a distinct weight. Any path P in a graph G labeled with edges called a rainbow path if any two interior vertices on the path have different weights. If there is a rainbow path between every pair of u and v vertices, then f is referred to as the rainbow vertex antimagic labeling of G. Graph G is called rainbow vertex antimagic coloring when each edge has a vertex weight color wf(v). The deductive analytic method is used in this research to analyze the issues that have been discovered, define the issue, and demonstrate patterns and theorems. With n ranging, the steps required are to draw a graph, determine the cardinality, search for the pattern of the rainbow vertex connection number as the lower bound, construct the bijective function to obtain the upper bound, and if the upper bound meets the lower bound, than new theorems and their proofs will be generated. Using the results of the proven theorem analysis will form a conclusion. BF(n, m) and shell flower graph
- © 2023 The Author(s)
- Open Access
- Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.
Cite this article
TY - CONF AU - Agnes Ayu Utami Ulya Kamila AU - Dafik AU - Arika Indah Kristiana AU - Rosanita Nisviasari AU - Elsa Yuli Kurniawati PY - 2023 DA - 2023/04/27 TI - On Rainbow Vertex Antimagic Coloring of Shell Related Graphs BT - Proceedings of the 6th International Conference of Combinatorics, Graph Theory, and Network Topology (ICCGANT 2022) PB - Atlantis Press SP - 17 EP - 29 SN - 2352-541X UR - https://doi.org/10.2991/978-94-6463-138-8_3 DO - 10.2991/978-94-6463-138-8_3 ID - Kamila2023 ER -