From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals
Iain Moffatt
University of London, United Kingdom
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Abstract
To what extent is a graph determined by the trees in it? What changes if we ask this question not for graphs in the abstract, but graphs that are embedded on surfaces? By considering these questions we will see how a collection of seemingly disjoint topics in mathematics are brought together through the idea of a partial dual.