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20212023
most citedRandom 2-cell embeddings of multistars

8 citations · 10 across the 6 of their papers we have counts for

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math.CO2022

Asymptotics of local face distributions and the face distribution of the complete graph

Jesse Campion Loth

We are interested in the distribution of the number of faces across all the cell embeddings of a graph, which is equivalent to the distribution of genus by Euler's formula. In…

math.CO2022★ 2 cited

Random Embeddings of Graphs: The Expected Number of Faces in Most Graphs is Logarithmic

Jesse Campion Loth, Kevin Halasz, Tomáš Masařík +2

A random 2-cell embedding of a connected graph in some orientable surface is obtained by choosing a random local rotation around each vertex. Under this setup, the number of fa…