Article ID Journal Published Year Pages File Type
4649527 Discrete Mathematics 2008 8 Pages PDF
Abstract

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 lak(G)lak(G), is the least number of linear k-forests needed to decompose G  . In this paper, we completely determine lak(G)lak(G) when G   is a balanced complete bipartite graph Kn,nKn,n or a complete graph KnKn, and k=3k=3.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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