On the largest planar graphs with everywhere positive combinatorial curvature

L Ghidelli - Journal of Combinatorial Theory, Series B, 2023 - Elsevier
A planar PCC graph is a simple connected planar graph with everywhere positive
combinatorial curvature which is not a prism or an antiprism and with all vertices of degree at …

Hyperbolic polyhedral surfaces with regular faces

Y Akama, B Hua - Discrete Mathematics, 2023 - Elsevier
We study hyperbolic polyhedral surfaces with faces isometric to regular hyperbolic polygons
satisfying that the total angles at vertices are at least 2 πぱい. The combinatorial information of …