A review-style snapshot of twelve finite-geometry theorems, each claiming a discrete analogue of a well-known continuum result.
Classical mathematical structures within topological graph theory
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abstract
Finite simple graphs are a playground for classical areas of mathematics. We illustrate this by looking at some theorems. These are slightly enhanced preparation notes for a talk given at the joint AMS meeting of January 16, 2014 in Baltimore.
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Elements of finite geometry I
A review-style snapshot of twelve finite-geometry theorems, each claiming a discrete analogue of a well-known continuum result.