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- W2607803845 abstract "Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so-called fat graph, which we call the systolic graph. We study which fat graphs are systolic graphs for some surface (we call these admissible). There is a natural necessary condition on such graphs, which we call combinatorial admissibility. Our first main result is that this condition is also sufficient. It follows that a sub-graph of an admissible graph is admissible. Our second major result is that there are infinitely many minimal non-admissible fat graphs (in contrast, for instance, to the classical result that there are only two minimal non-planar graphs)." @default.
- W2607803845 created "2017-05-05" @default.
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- W2607803845 date "2015-03-06" @default.
- W2607803845 modified "2023-09-27" @default.
- W2607803845 title "Graphs of Systoles on hyperbolic surfaces" @default.
- W2607803845 hasPublicationYear "2015" @default.
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