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math.CO2020
Graphs on surfaces with positive Forman curvature or corner curvature
Yohji Akama, Bobo Hua, Yanhui Su +1
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 fo…
math.CO2019
A curvature notion for planar graphs stable under planar duality
Yohji Akama, Bobo Hua, Yanhui Su +1
Woess \cite{Woess98} introduced a curvature notion on the set of edges of a planar graph, called -curvature in our paper, which is stable under the planar duality. We study geom…
math.CO2017★ 2 cited
The first gap for total curvatures of planar graphs with nonnegative curvature
Bobo Hua, Yanhui Su
We prove that the total curvature of a planar graph with nonnegative combinatorial curvature is at least if it is positive. Moreover, we classify the metric structur…