On the linear (n-1)-arboricity of Kn(m)
摘要:
A linear k-forest of an undirected graph G is a subgraph of G whose components are paths with lengths at most k. The linear k-arboricity of G, denoted by lak(G), is the minimum number of linear k-forests needed to partition the edge set E(G) of G. In the case where the lengths of paths are not restricted, we then have the linear arboricity of G, denoted by la(G). In this paper, we obtain the exact value of the linear (n1)-arboricity of any balanced complete n-partite graph Kn(m).
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DOI:
10.1016/j.dam.2010.04.013
被引量:
年份:
2010
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