On the number of cut locus structures on graphs

Details On the number of cut locus structures on graphs On the number of cut locus structures on graphs

2011-03-09

arxiv.org/abs/1103.1764v1

Mathematics

Combinatorics

13 pages, 5 figures. Third in a series of four papers

Scientific paper

We proved in another paper that every connected graph can be realized as the
cut locus of some point on some riemannian surface. Here we give upper bounds
on the number of such realizations.

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