GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$
The concept of zero-divisor graph is more often viewed from an algebraic aspect. This makes the author want to review zero-divisor graph from a graph theory perspective. Some papers have already provided graceful labeling for some types of zero-divisor graphs. The emerging problem formulation is...
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id-itb.:814872024-06-28T08:13:31ZGRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ Constantine, Christian Indonesia Final Project congruence classes of the integer modulo n, graceful labeling, graphs, zero-divisor INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/81487 The concept of zero-divisor graph is more often viewed from an algebraic aspect. This makes the author want to review zero-divisor graph from a graph theory perspective. Some papers have already provided graceful labeling for some types of zero-divisor graphs. The emerging problem formulation is to find graceful labeling techniques for the zero-divisor graph ?(Zn) for various values of n. The aim of this research is to identify graceful labeling techniques for zero-divisor graphs ?(Zn) for certain values of n, especially when n = pk and n = pkq for p, q prime numbers and k ? N. The methods used in this research include adaptation of existing results, modifications, and the use of other methods. After analysis, several types of zero-divisor graphs ?(Zn) with certain values of n that can be gracefully labeled are obtained. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
| description |
The concept of zero-divisor graph is more often viewed from an algebraic aspect. This
makes the author want to review zero-divisor graph from a graph theory perspective.
Some papers have already provided graceful labeling for some types of zero-divisor
graphs. The emerging problem formulation is to find graceful labeling techniques for
the zero-divisor graph ?(Zn) for various values of n. The aim of this research is to
identify graceful labeling techniques for zero-divisor graphs ?(Zn) for certain values
of n, especially when n = pk and n = pkq for p, q prime numbers and k ? N. The
methods used in this research include adaptation of existing results, modifications, and
the use of other methods. After analysis, several types of zero-divisor graphs ?(Zn)
with certain values of n that can be gracefully labeled are obtained. |
| format |
Final Project |
| author |
Constantine, Christian |
| spellingShingle |
Constantine, Christian GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ |
| author_facet |
Constantine, Christian |
| author_sort |
Constantine, Christian |
| title |
GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ |
| title_short |
GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ |
| title_full |
GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ |
| title_fullStr |
GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ |
| title_full_unstemmed |
GRACEFUL LABELING OF ZERO-DIVISOR GRAPH $\GAMMA(\MATHBB{Z}_{N})$ FOR VARIOUS VALUES OF $N$ |
| title_sort |
graceful labeling of zero-divisor graph $\gamma(\mathbb{z}_{n})$ for various values of $n$ |
| url |
https://digilib.itb.ac.id/gdl/view/81487 |
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1822997337608290304 |