On super (a, d) − P2 B H− antimagic total labeling of disjoint union of comb product graphs
Date
2019-05-07Author
PRIHANDINI, R M
DAFIK, Dafik
AGUSTIN, I H Agustin
ALFARISI, R Alfarisi
ADAWIYAH, R Adawiyah
Santoso, K A Santoso
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Show full item recordAbstract
This study focuses on simple and undirected graphs. For a graph G = (V, E), a bijection
λ from V (G)∪E(G) into {1, 2, ..., |V (G)|+|E(G)|} is called super (a, d)-H-antimagic total
labeling of G if the total P2BH−weights, wP2BH =
P
v∈V (P2BH)
λ(v)+P
e∈E(P2BH)
λ(e)
form an arithmetic sequence progression starting from a and having common difference
d. The graph chosen in this paper is graph from operation of comb product. Some
results of the labeling of comb product can be seen at [6],[7],and [8].
The combination of two grafts G1 and G2 is denoted by G1 ∪ G2. The combination
of two grafts is defined as a graph with the set of vertex V (G1) ∪ V (G2) and the set off
edge E(G1) ∪ E(G2). The disjoint union of graphs, sG, is defined as a combination of
each other from s copies of graph G. In other words, sG = G1 ∪ G2 ∪ G3 ∪ · · · ∪ Gs, with
G1 = G2 = G3 = · · · = Gs = G. If graph G has a p vertices and q edges, then the graph
sG has sp vertices and sq edges.
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- LSP-Jurnal Ilmiah Dosen [7229]