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Algorithms for Zumkeller Labeling of Full Binary Trees and Square Grids

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Artificial Intelligence and Evolutionary Algorithms in Engineering Systems

Part of the book series: Advances in Intelligent Systems and Computing ((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.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Agni College of Technology Thalambur, Chennai, 600130, India

    B. J. Balamurugan

  2. Department of Mathematics, SIVET College Gowrivakkam, Chennai, 600073, India

    K. Thirusangu

  3. Department of Mathematics, Madras Christian College Tambaram, Chennai, 600059, India

    D. G. Thomas

Authors
  1. B. J. Balamurugan
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  2. K. Thirusangu
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  3. D. G. Thomas
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Corresponding author

Correspondence to B. J. Balamurugan .

Editor information

Editors and Affiliations

  1. Electrical & Electronics Engineering, Noorul Islam Centre for Higher Education, Kumaracoil, Tamil Nadu, India

    L Padma Suresh

  2. Electrical and Electronics Engineering, SRM Engineering College, Kattankulathur, Tamil Nadu, India

    Subhransu Sekhar Dash

  3. Electrical Engineering, IIT Delhi, New Delhi, Delhi, India

    Bijaya Ketan Panigrahi

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Balamurugan, B.J., Thirusangu, K., Thomas, D.G. (2015). Algorithms for Zumkeller Labeling of Full Binary Trees and Square Grids. In: Suresh, L., Dash, S., Panigrahi, B. (eds) Artificial Intelligence and Evolutionary Algorithms in Engineering Systems. Advances in Intelligent Systems and Computing, vol 325. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2135-7_21

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  • DOI: https://doi.org/10.1007/978-81-322-2135-7_21

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2134-0

  • Online ISBN: 978-81-322-2135-7

  • eBook Packages: EngineeringEngineering (R0)

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