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The Game of Wall Cops and Robbers Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Zumkeller Cordial Labeling of Graphs

Authors : B. J. Murali, K. Thirusangu, R. Madura Meenakshi

Published in: Computational Intelligence, Cyber Security and Computational Models

Publisher: Springer Singapore

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Abstract

In this paper we introduce a new graph labeling called Zumkeller cordial labeling of a graph G = (V, E). It can be defined as an injective function f: V → N such that the induced function f* : E → {0, 1} defined by f*(xy) = f(x) f(y) is 1 if f(x) f(y) is a Zumkeller number and 0 otherwise with the condition \( \left| {{\text{e}}_{\text{f}}^{*} ( 0 )- {\text{e}}_{\text{f}}^{*} ( 1 )} \right| \le 1. \) We make use of a technique of generating Zumkeller numbers and the concept of cordiality in the labeling of graphs.

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Literature
1.
Balamurugan, B.J., Thirusangu, K., Thomas, D.G.: Strongly multiplicative Zumkeller labeling of graphs. In: International Conference on Information and Mathematical Sciences, Elsevier, pp. 349–354 (2013)
2.
Balamurugan, B.J., Thirusangu, K., Thomas, D.G.: Strongly multiplicative Zumkeller labeling for acyclic graphs. In: Proceedings of International Conference on Emerging Trends in Science, Engineering, Business and Disaster Management (ICBDM—2014), to appear in IEEE Digital Library
3.
Balamurugan, B.J., Thirusangu, K., Thomas, D.G.: Zumkeller labeling of some cycle related graphs. In: Proceedings of International Conferenc on Mathematical Sciences (ICMS—2014), Elsevier, pp. 549–553 (2014)
4.
Balamurugan, B.J., Thirusangu, K., Thomas, D.G.: Zumkeller labeling algorithms for complete bipartite graphs and wheel graphs. Adv. Intell. Syst. Comput. Springer 324, 405–413 (2015)
5.
Balamurugan, B.J., Thirusangu, K., Thomas, D.G.: Algorithms for Zumkeller labeling of full binary trees and square grids. Adv. Intell. Syst. Comput. Springer 325, 183–192 (2015)CrossRef
6.
Balamurugan, B.J., Thirusangu, K., Thomas, D.G.: k-Zumkeller labeling for twig graphs. Electron. Notes Discrete Math. 48, 119–126 (2015)CrossRef
7.
Cahit, I.: On cordial and 3-equitable labelling of graph. Utilitas Math. 370, 189–198 (1990)MathSciNet
8.
9.
Gallian, J.A.: A dynamic survey of graph labeling. Electronic Journal of Combinatorics. 17 (DS6) (2014)
10.
Harary, F.: Graph theory. Addison-Wesley, Reading Mass (1972)
11.
12.
Rosa, A.: On certain valuations of the vertices of a graph. In: Gordan, N.B., Dunad (eds.) Theory of graphs. International Symposium, Paris, pp. 349–359 (1966)
Metadata
Title
Zumkeller Cordial Labeling of Graphs
Authors
B. J. Murali
K. Thirusangu
R. Madura Meenakshi
Copyright Year
2016
Publisher
Springer Singapore
Book
Computational Intelligence, Cyber Security and Computational Models

Print ISBN: 978-981-10-0250-2

Electronic ISBN: 978-981-10-0251-9

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-981-10-0251-9_49

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