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Vertex and Tree Arboricities of Graphs
2004
Journal of combinatorial optimization
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
doi:10.1023/b:joco.0000038912.82046.17
fatcat:zq75b47o3ffjjkd7s2r6r76gde