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Title of article :
Partition the vertices of a graph into one independent set and one acyclic set Original Research Article
Author/Authors :
Aifeng Yang، نويسنده , , Jinjiang Yuan، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
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Abstract :
For a given graph G, if the vertices of G can be partitioned into an independent set and an acyclic set, then we call G a near-bipartite graph. This paper studies the recognition of near-bipartite graphs. We give simple characterizations for those near-bipartite graphs having maximum degree at most 3 and those having diameter 2. We also show that the recognition of near-bipartite graphs is NP-complete even for graphs where the maximum degree is 4 or where the diameter is 4.
Keywords :
Near-bipartition , Acyclic set , Independent set
Journal title :
Discrete Mathematics
Serial Year :
Link To Document :