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Equitable partition of planar graphs

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Title
Equitable partition of planar graphs
Author(s)
Kim, Ringi; Sang-il Oum; Zhang, Xin
Publication Date
2021-06
Journal
DISCRETE MATHEMATICS, v.344, no.6
Publisher
ELSEVIER
Abstract
An equitable k-partition of a graph G is a collection of induced subgraphs (G[V-1], G[V-2], ... , G[V-k]) of G such that (V-1, V-2, ... , V-k) is a partition of V(G) and -1 <= |V-i| - |V-j| <= 1 for all 1 <= i < j <= k. We prove that every planar graph admits an equitable 2-partition into 3-degenerate graphs, an equitable 3-partition into 2-degenerate graphs, and an equitable 3-partition into two forests and one graph. (c) 2021 Elsevier B.V. All rights reserved.
URI
https://pr.ibs.re.kr/handle/8788114/10029
DOI
10.1016/j.disc.2021.112351
ISSN
0012-365X
Appears in Collections:
Pioneer Research Center for Mathematical and Computational Sciences(수리 및 계산과학 연구단) > Discrete Mathematics Group(이산 수학 그룹) > 1. Journal Papers (저널논문)
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