F-average eccentric graphs

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T. Sathiyanandham, S. Arockiaraj


The -average eccentric graph  of a graph  has the vertex set as in  and any two vertices  and  are adjacent in  if either they are at a distance  while  is connected or they are in different components while  is disconnected. A graph  is called a -average eccentric graph if  for some graph . The main aim of this paper is to find a necessary and sufficient condition for a graph to be a -average eccentric graph.

AMS (2000) subject classifications: 05C12


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