Python Programming on Fibonacci Graceful Anti-Magic Labeling for Star Graphs

D. Amuthavalli, Dr. S. Murugesan · International Journal for Research in Applied Science and Engineering Technology · 2025

Abstract: A graph ࡳ) = ࢂ,ࡱ ,ࣘ (ࢎ࢚࢏࢝ ࢖ vertices and ࢗ edges is called Fibonacci Graceful Anti magic Graph [ࡳࡹ࡭ࡳࡲ [if a function ࣘ is defined as ࣘ :ࢂ , ... ,૛ ,૚ ,૙൛ → ࢗࡲା૚ ൟ and the induced edge labeling ࣘ∗ ૛ࡲ൛ → ࡱ : ૝ࡲ,૜ࡲ , ૚ାࢗࡲ , ... , ൟ is defined by ࣘ)∗࢛࢜| = (ࣘ)࢛ − (ࣘ)࢜|(is bijective. In addition all the vertex sums are pairwise distinct and all the edges are unique. In this article the concept of Fibonacci Graceful Anti- Magic Labeling [ࡸࡹ࡭ࡳࡲ[is introduce and investigate some star related graphs which are Fibonacci Graceful Anti magic Graph [ࡳࡹ࡭ࡳࡲ.

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