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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 4

 
   

The Cordiality for the Join of Pairs of the Third Power of Paths

PP: 611-615
doi:10.18576/amis/160414
Author(s)
E. A. Elsakhawy,
Abstract
A graph is said to be cordial if it has a 0−1 labeling that satisfies certain properties. The third power of path P3, is the graph n obtained from the path Pn by adding edges that join all vertices and with d ≤ 3. In this paper, we show that Pn3 is cordial if and only if n ̸= 4. Moreover, we study the cordiality for the sum of pairs of the third power of paths. Keywords:

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