Orientable cut locus structures on graphs

Details Orientable cut locus structures on graphs Orientable cut locus structures on graphs

2011-03-16

arxiv.org/abs/1103.3136v1

Mathematics

Differential Geometry

24 pages, 14 pages. Fourth in a series of four papers

Scientific paper

We showed in another paper [arXiv:1103.1759] that every connected graph can
be realized as the cut locus of some point on some riemannian surface $S$.
Here, criteria for the orientability of $S$ are given, and are applied to
classify the distinct, orientable, cut locus structures on graphs with four
generating cycles.

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