Open AccessPEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2
Author(s) -
Deddy Setyawan,
Anis Nur Afni,
R. M. Prihandini,
Ermita Rizki Albirri,
Arika Indah Kristiana
Publication year - 2021
Publication title -
barekeng
Language(s) - English
Resource type - Journals
eISSN - 2615-3017
pISSN - 1978-7227
DOI - 10.30598/barekengvol15iss4pp651-658
Subject(s) - combinatorics , vertex (graph theory) , mathematics , edge coloring , graph , fractional coloring , neighbourhood (mathematics) , complete coloring , discrete mathematics , graph power , line graph , mathematical analysis
The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labeling start the smallest label from the vertex then the edge so that kind of coloring is called the local super antimagic total vertex labeling. That local super antimagic total vertex labeling induces vertex coloring of graph G where for vertex v, the weight w(v) is the color of v. The minimum number of colors that obtained by coloring that induces by local super antimagic total vertex labeling of G called the chromatic number of local super antimagic total vertex coloring of G, denoted by χlsat(G). In this paper, we consider the chromatic number of local super antimagic total vertex coloring of Generalized Petersen Graph P(n,k) for k=1, 2.