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Web Information Extraction on Multiple Ontologies Based on Concept Relationships upon Training the User Profiles Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Algorithms for Zumkeller Labeling of Full Binary Trees and Square Grids

Authors : B. J. Balamurugan, K. Thirusangu, D. G. Thomas

Published in: Artificial Intelligence and Evolutionary Algorithms in Engineering Systems

Publisher: Springer India

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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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Literature
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B.J. Balamurugan, K. Thirusangu, D.G. Thomas, Strongly multiplicative Zumkeller labeling of graphs. Int. Conf. Inf. Math. Sci. 349–354 (2013)
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J.A. Gallian, A dynamic survey of graph labeling. Electron. J. Comb. 16 (2013)
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F. Harary, Graph theory (Addison-Wesley, Reading Mass, 1972)
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R. Johnsonbaugh, Discrete mathematics (Pearson Education, Asia, 2001)
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A. Rosa, On certain valuations of the vertices of a graph, in Theory of Graphs. International Symposium (1966), pp. 349–359
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A.K. Srinivasan, Practical numbers. Curr. Sci. 17, 179–180 (1948)
Metadata
Title
Algorithms for Zumkeller Labeling of Full Binary Trees and Square Grids
Authors
B. J. Balamurugan
K. Thirusangu
D. G. Thomas
Copyright Year
2015
Publisher
Springer India
Book
Artificial Intelligence and Evolutionary Algorithms in Engineering Systems

Print ISBN: 978-81-322-2134-0

Electronic ISBN: 978-81-322-2135-7

Copyright Year: 2015

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

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