Path count asymptotics and Stirling numbers

Mathematics – Combinatorics

Scientific paper

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Misprint corrected. To appear in Proc. Amer. Math. Soc

Scientific paper

We obtain formulas for the growth rate of the numbers of certain paths in
infinite graphs built on the two-dimensional Eulerian graph. Corollaries are
identities relating Stirling numbers of the first and second kinds.

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