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The alternating labeling of the graph Fn,4 (r1,r2,…,r3n +1)
Author(s): 
Pages: 11-14
Year: Issue:  4
Journal: Acta Scientiarum Naturalium Universitatis Sunyatseni

Keyword:  graceful graphalternating graphgraceful labelingalternating labeling;
Abstract: For natural numbers n(n ≥ 1),r1 ,r2 ,…,r3n+1 ,let V(Fn,4 )={v1 ,v2 ,…,v3n+1},Fn,4 (r1 ,r2 ,…,r3n+1 )is the new graph that every vertex vi in the V(Fn,4 )={v1 ,v2 ,…,v3n+1}is bonding ri hanging edges.The gracefulness of the graph Fn,4 (r1 ,r2 ,…,r3n+1 )is discussed.It is proved that the graph Fn,4 (r1 ,r2 ,…,r3n+1 )is alternating graph.
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