Equitable partition of planar graphs
نویسندگان
چکیده
An equitable k-partition of a graph G is collection induced subgraphs (G[V1],G[V2],…,G[Vk]) such that (V1,V2,…,Vk) partition V(G) and −1≤|Vi|−|Vj|≤1 for all 1≤i<j≤k. We prove every planar admits an 2-partition into 3-degenerate graphs, 3-partition 2-degenerate two forests one graph.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2021
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2021.112351