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math.CO2024
A note on quasi-transitive graphs quasi-isometric to planar (Cayley) graphs
Joseph MacManus
Given a connected, locally finite, quasi-transitive graph which is quasi-isometric to a planar graph , we remark that one can upgrade to be a planar Cayley graph, answer…
math.CO2024
The metric Menger problem
Júlia Baligács, Joseph MacManus
We study a generalization of the well-known disjoint paths problem which we call the metric Menger problem, denoted MM(r,k), where one is given two subsets of a graph and must deci…