Vertex and Tree Arboricities of Graphs

  title={Vertex and Tree Arboricities of Graphs},
  author={Gerard J. Chang and Chiuyuan Chen and Yaping Chen},
  journal={J. Comb. Optim.},
This paper studies the following variations of arboricity of graphs. The vertex (respectively, tree) arboricity of a graph G is the minimum number va(G) (respectively, ta(G)) of subsets into which the vertices of G can be partitioned so that each subset induces a forest (respectively, tree). This paper studies the vertex and the tree arboricities on various classes of graphs for exact values, algorithms, bounds, hamiltonicity and NP-completeness. The graphs investigated in this paper include… CONTINUE READING

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