Algorithms for Zumkeller Labeling of Full Binary Trees and Square Grids

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 325)

Abstract

Let G = (V, E) be a graph. An injective function f: V → N is said to be a Zumkeller labeling of the graph G, if the induced function f *: E → N defined as f *(xy) = f(x) f(y) is a Zumkeller number for all xy ∈ E, x, y ∈ V. A graph G = (V, E) which admits a Zumkeller labeling is called a Zumkeller graph. In this paper, we provide algorithms for Zumkeller labeling of full binary trees and grid graphs.

Keywords

Zumkeller labeling Number theory Code-making Breaking 

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Copyright information

© Springer India 2015

Authors and Affiliations

  • B. J. Balamurugan
    • 1
  • K. Thirusangu
    • 2
  • D. G. Thomas
    • 3
  1. 1.Department of MathematicsAgni College of Technology ThalamburChennaiIndia
  2. 2.Department of MathematicsSIVET College GowrivakkamChennaiIndia
  3. 3.Department of MathematicsMadras Christian College TambaramChennaiIndia

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