Star arboricity and k-star arboricity of graphs

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  A star forest is a forest whose components are stars.The star arboricity of a graph G, denoted by sa(G), is the minimum number of edge-disjoint star forests whose union covers all edges of G.Let k be a positive integer.A k-star forest is a forest whose components are all i-stars K1,i with 1 ≤ i ≤ k.
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