曲面的Whitney型定理：刻画具有局部平面嵌入的图
A Whitney type theorem for surfaces: characterising graphs with locally planar embeddings
摘要：
证明了对任意参数r，r-局部2-连通图G在曲面中嵌入r-局部平面当且仅当与图G相关联的拟阵是上图.这扩展了惠特尼的抽象平面对偶定理从1932年。
英文摘要：
We prove that for any parameter r an r-locally 2-connected graph G embeds r-locally planarly in a surface if and only if a certain matroid associated to the graph G is co-graphic. This extends Whitney's abstract planar duality theorem from 1932.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
