Combinatorial Characterization of Upward Planarity

Xuexing Lu , Yu Ye

Communications in Mathematics and Statistics ›› 2019, Vol. 7 ›› Issue (2) : 207 -223.

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Communications in Mathematics and Statistics ›› 2019, Vol. 7 ›› Issue (2) : 207 -223. DOI: 10.1007/s40304-018-0169-2
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Combinatorial Characterization of Upward Planarity

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Abstract

We give a combinatorial characterization of upward planar graphs in terms of upward planar orders, which are special linear extensions of edge posets.

Keywords

Upward planar graph / Planar st graph / Upward planar order

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Xuexing Lu, Yu Ye. Combinatorial Characterization of Upward Planarity. Communications in Mathematics and Statistics, 2019, 7(2): 207-223 DOI:10.1007/s40304-018-0169-2

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Funding

NSFC(No.11431010)

the Fundamental Research Funds for the Central Universities

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