Edge Even Graceful Labeling of Polar Grid Graphs
Edge Even Graceful Labelingwas first defined byElsonbaty and Daoud in 2017. An edge even graceful labeling of a simple graph with vertices and edges is a bijection from the edges of the graph to the set such that, when each vertex is assigned the sum of all edges incident to it where , the resulting...
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doaj-1b24a76788d9400b9e741ddb3bc1e8b12020-11-25T00:17:17ZengMDPI AGSymmetry2073-89942019-01-011113810.3390/sym11010038sym11010038Edge Even Graceful Labeling of Polar Grid GraphsSalama Nagy Daoud0Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah 41411, Saudi ArabiaEdge Even Graceful Labelingwas first defined byElsonbaty and Daoud in 2017. An edge even graceful labeling of a simple graph with vertices and edges is a bijection from the edges of the graph to the set such that, when each vertex is assigned the sum of all edges incident to it where , the resulting vertex labels are distinct. In this paper we proved necessary and sufficient conditions for the polar grid graph to be edge even graceful graph.http://www.mdpi.com/2073-8994/11/1/38graceful labelingedge graceful labelingedge even graceful labelingpolar grid graph |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Salama Nagy Daoud |
spellingShingle |
Salama Nagy Daoud Edge Even Graceful Labeling of Polar Grid Graphs Symmetry graceful labeling edge graceful labeling edge even graceful labeling polar grid graph |
author_facet |
Salama Nagy Daoud |
author_sort |
Salama Nagy Daoud |
title |
Edge Even Graceful Labeling of Polar Grid Graphs |
title_short |
Edge Even Graceful Labeling of Polar Grid Graphs |
title_full |
Edge Even Graceful Labeling of Polar Grid Graphs |
title_fullStr |
Edge Even Graceful Labeling of Polar Grid Graphs |
title_full_unstemmed |
Edge Even Graceful Labeling of Polar Grid Graphs |
title_sort |
edge even graceful labeling of polar grid graphs |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-01-01 |
description |
Edge Even Graceful Labelingwas first defined byElsonbaty and Daoud in 2017. An edge even graceful labeling of a simple graph with vertices and edges is a bijection from the edges of the graph to the set such that, when each vertex is assigned the sum of all edges incident to it where , the resulting vertex labels are distinct. In this paper we proved necessary and sufficient conditions for the polar grid graph to be edge even graceful graph. |
topic |
graceful labeling edge graceful labeling edge even graceful labeling polar grid graph |
url |
http://www.mdpi.com/2073-8994/11/1/38 |
work_keys_str_mv |
AT salamanagydaoud edgeevengracefullabelingofpolargridgraphs |
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1725379868659548160 |