# Zumkeller Labeling Algorithms for Complete Bipartite Graphs and Wheel Graphs

• B. J. Balamurugan
• K. Thirusangu
• D. G. Thomas
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 324)

## 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) that admits a Zumkeller labeling is called a Zumkeller graph. In this paper, we provide polynomial time algorithms for Zumkeller labeling of complete bipartite graphs and wheel graphs.

## Keywords

Polynomial time algorithms Zumkeller labeling Zumkeller numbers Complete bipartite graph Wheel graphs

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## 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