Traffic Congestion in Expanders and (p, δ)-Hyperbolic Spaces
نویسندگان
چکیده
In this paper we define the notion of (p, δ)–Gromov hyperbolic space where we relax Gromov slimness condition to allow that not all but a positive fraction of all the triangles are δ–slim. Furthermore, we study their traffic congestion under geodesic routing. We also construct a constant degree family of expanders with congestion Θ(n) in contrast to random regular graphs that have congestion O(n log(n)) (as shown in [17]).
منابع مشابه
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ورودعنوان ژورنال:
- Internet Mathematics
دوره 11 شماره
صفحات -
تاریخ انتشار 2015