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math.CO2024
Characterization of Trees with Maximum Security
Alex S. A. Alochukwu, Audace A. V. Dossou-Olory, Fadekemi J. Osaye +5
The rank (also known as protection number or leaf-height) of a vertex in a rooted tree is the minimum distance between the vertex and any of its leaf descendants. We consider the s…
math.CO2024
Outerplanar graphs with positive Lin-Lu-Yau curvature
George Brooks, Fadekemi Osaye, Anna Schenfisch +2
In this paper, we show that all simple outerplanar graphs with minimum degree at least and positive Lin-Lu-Yau Ricci curvature on every edge have maximum degree at most …