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<p>On one hand, we study the class of graphs on surfaces, satisfying tessellation properties, with positive Forman curvature on each edge. Via medial graphs, we provide a new proof for the finiteness of the class, and give a complete classification. On the other hand, we classify the class of graphs on surfaces with positive corner curvature.</p>

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Graphs on Surfaces with Positive Forman Curvature or Corner Curvature

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Yohji Akama,
  • Bobo Hua,
  • Yanhui Su,
  • Haohang Zhang

摘要

On one hand, we study the class of graphs on surfaces, satisfying tessellation properties, with positive Forman curvature on each edge. Via medial graphs, we provide a new proof for the finiteness of the class, and give a complete classification. On the other hand, we classify the class of graphs on surfaces with positive corner curvature.