The linear 3-arboricity of Kn,n and Kn
摘要:
Summary: A linear $k$-forest is a forest whose components are paths of length at most $k$. The linear $k$-arboricity of a graph $G$, denoted by $la_k(G)$, is the least number of linear $k$-forests needed to decompose $G$. In this paper, we completely determine $la_k(G)$ when $G$ is a balanced complete bipartite graph $K_{n,n}$ or a complete graph $K_n$, and $k=3$.
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DOI:
10.1016/j.disc.2007.07.067
被引量:
年份:
2008





























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