SKOLEM DIFFERENCE MEAN LABELING OF STAR RELATED GRAPHS
Dr. S. Murugesan
Professor, Department of Mathematics, Park College of Engineering and Technology
Coimbatore, Mail Id: ppysmurugesan@gmail.com
Dr. B. Gayathiri
Assistant Professor, Department of Mathematics, Bannari Amman Institute of Technology, Sathiyamangalam, Erode, Mail Id: gayathirib@bitsathy.ac.in
ABSTRACT
The graph G=(V(G),E(G) with p vertices and q edges is called Skolem difference mean labeling graph if f:V(G)⟶{1,2…p+q} is an injective mapping such that induced bijective edge labeling f* ∶ E(G)⟶{1,2,…,q} defined by f*(uv)=|f(u)-f(v)|/2 , if |f(u)-f(v)| is even otherwise f*(uv)=|f(u)-f(v)|+1/2, if |f(u)-f(v)| is odd.
MSC Classification:05C76