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Graphs with polynomial growth are covering graphs (1992)

Godsil, C. D. ; Seifter, N.

Springer

Graphs and combinatorics 8 (1992), S. 233-241

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ISSN: 1435-5914

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract LetX be a connected locally finite transitive graph with polynomial growth. We show that there exist infinitely many finite graphsY 1,Y 2,... such thatX is a covering graph of each of these graphs and everyY k ,k≥2, is covering graph of the graphsY 1,...,Y k-1 . IfX is in additions-transitive for somes≥2 the graphsY i can be assumed to be at leasts-transitive.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02349960

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