Labeling On Pentagonal Pyramidal Graceful Graph

Numbers that can be expressed as (r 2 (r+1)) /2 for all r ≥ 1 are called pentagonal pyramidal numbers. Assume G to be a graph with p vertices and q edges. Let Φ: V(G) →{0, 1, 2… B c } where B c is the c ℎ number with a pentagonal pyramid, be an injective function. Define the function Φ* :E(G) →{1,6,18,.., B c } such that Φ * (ab) = |Φ(a)- Φ(b)| which is true for each and every edge abϵE(G). If Φ*(E(G)) represents a sequential arrangement of non-identical successive pentagonal pyramidal numbers {B 1 , B 2 , …, B c }, then Φ can be regarded as the pentagonal pyramidal graceful labeling. The graph permitting labeling of such kind can be referred to as a pentagonal pyramidal graceful graph. This study examines some unique pentagonal pyramidal elegant graph labeling outcomes.