A Note on The Linear Arboricity of Planar Graphs without 4-Cycles∗
نویسندگان
چکیده
The linear arboricity la(G) of a graph G is the minimum number of linear forests which partition the edges of G. In this paper, it is proved that if G is a planar graph with ∆(G) ≥ 5 and without 4-cycles, then la(G) = ⌈∆(G) 2 ⌉. Moreover, the bound that ∆(G)≥ 5 is sharp.
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