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- W2999682367 abstract "The cluster of a crossing in a graph drawing in the plane is the set of the four end-vertices of its two crossed edges. Two crossings are independent if their clusters do not intersect. In this paper, we prove that every plane graph with independent crossings has an equitable partition into m induced forests for any m≥8. Moreover, we decrease this lower bound 8 for m to 6, 5, 4 and 3 if we additionally assume that the girth of the considering graph is at least 4, 5, 6 and 26, respectively." @default.
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- W2999682367 date "2020-05-01" @default.
- W2999682367 modified "2023-10-09" @default.
- W2999682367 title "Equitable partition of plane graphs with independent crossings into induced forests" @default.
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- W2999682367 doi "https://doi.org/10.1016/j.disc.2019.111792" @default.
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