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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
2
votes
Cut locus in a graph
Hopefully, I didn't completely misread the definitions. So here goes.
If we use definition 1. of distinct, (b) could be simplified to "all edges between vertices at the same distance from x" (and the …