Geodesic
Approximating graphs with polynomialgrowth
Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 1-8

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Let X be an infinite,locally finite, almost transitive graph with polynomial growth. We show that sucha graph X is the inverse limit of an infinite sequence offinite graphs satisfying growth conditions which are closely related to growthproperties of the infinite graphX.1991 Mathematics Subject Classification. Primary 05C25, Secondary 20F8. 
Seifter, Norbert; Woess, Wolfgang. Approximating graphs with polynomialgrowth. Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 1-8. doi: 10.1017/S001708950001003X
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