Pair difference cordial labeling of some union of graphs
Künye
Ponraj, R., Gayathri, A. & Somasundaram, S. (2023). Pair difference cordial labeling of some union of graphs. TWMS Journal Of Applied And Engineering Mathematics, 13(3), 1083-1095.Özet
Let G = (V, E) be a (p, q) graph. Define ? = {p/2 if p is even p?1/2 if p is odd and L = {±1, ±2, ±3, · · · , ±?} called the set of labels. Consider a mapping f : V ? L by assigning different labels in L to the different elements of V when p is even and different labels in L to p-1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) ? f(v)| such that ?f1 ? ?fc1 ? 1, where ?f1 and ?fc1respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate the pair difference cordial labeling behavior of the union of some graphs like path, cycle, star and bistar graph.
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3Bağlantı
http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5608http://jaem.isikun.edu.tr/web/index.php/archive/121-vol13no3/1094
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