In this chapter, the new concept vertex sum cube labeling has been introduced and a formula for vertex sum cube labeling has been established. A function θ is called a Vertex sum cube labeling of a graph G with edges, if the vertices of G to the set {0,1,2,p-1} such that when each edge is assigned the label θ(uv) = u3 + v3 + 3u2v + 3uv2, then θ is a bijective function, then the resulting edge labels are distinct cube numbers. In this chapter, some families of graphs such as Ladder, Stair Strn, Jelly Fish J(m,n) and P2n has been established.
Author(s) Details:
P. Shalini,
PG and Research Department of Mathematics, Cauvery College for Women
(Autonomous), Trichy – 18, India.
S. Prema,
PG and
Research Department of Mathematics, Cauvery College for Women (Autonomous),
Trichy – 18, India.
Please see the link here: https://stm.bookpi.org/RUMCS-V1/article/view/13671
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