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On the vertex partition of planar graphs into forests with bounded degree

Author

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  • Wang, Yang
  • Huang, Danjun
  • Finbow, Stephen

Abstract

Let G=(V,E) be a graph. A (Δd1,Δd2)-partition of a graph G is the partition of V(G) into two non-empty subsets V1 and V2, such that G[V1] and G[V2] are graphs with maximum degree at most d1 and d2, respectively. A similar definition can be given for the notation (Fd1,Fd2)-partition if G[V1] and G[V2] are forests with maximum degree at most d1 and d2, respectively.

Suggested Citation

  • Wang, Yang & Huang, Danjun & Finbow, Stephen, 2020. "On the vertex partition of planar graphs into forests with bounded degree," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    • Handle: RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300320300011
    DOI: 10.1016/j.amc.2020.125032
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    References listed on IDEAS

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    1. Chen, Min & Raspaud, André, 2019. "Acyclic improper choosability of subcubic graphs," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 92-98.
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