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Labeling On Pentagonal Pyramidal Graceful Graph
  • * AKannan,
  • A. Meenakshi,
  • M. Bramila
* AKannan
Vel Tech Multi Tech Dr Rangarajan Dr Sakunthala Engineering College

Corresponding Author:kansyl1@gmail.com

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A. Meenakshi
Vel Tech Rangarajan Dr Sagunthala R&D Institute of Science and Technology
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M. Bramila
Dharmamurthi Rao Bahadur Calavala Cunnan Chetty's Hindu College
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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 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.