Research Article

DOI:
http://dx.doi.org/10.24327/ijrsr.2018.0903.1840
Subject:
science
KeyWords:
Fan graph, Shadow graph, Jewel graph, splitting graphs, Near Skolem Difference Mean graphs, Near Skolem Difference Mean labeling
Abstract:
Let g be a p,q graph and f:v(g) → → {1,2, , … ,p+q-1,p+q+2}be an injection.For each edge e=uv, the inducted edge labelling f* is defined as follows:
f*(e)={ |f(u)-f(v) |/2 if |f(u)-f(v) | is even
|f(u)-f(v) |/2 if |f(u)-f(v) | is odd
Then f is called Near skolem difference mean labelling if f*(e) are all distinct and are from {1,2,3,… .q}.A graph that admits a Near skolem difference mean labelling is called Near skolem difference mean graph.In this paper, a new parameter E -1 IS introduced and verified for some graph.