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The packing and covering number of trees are local

Atamanchuk, Caelan et al.
arXiv (All) · Papers
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05c7060c05combinatoricsprobability
For a graph, its $r$-packing number is the size of the largest $r$-separated set and its $r$-covering number is the size of the smallest $r$-net. We show that the $r$-covering number and $r$-packing number are continuous in the fringe topology on locally finite trees. This recovers convergence resul
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