GROWTH AND ISOPERIMETRIC PROFILE OF PLANAR GRAPHS
Let Γ be a planar graph such that the volume function of Γ satisfies V(2n) ≤ CV(n) for some constant C > 0. Then for every vertex v of Γ and n ∈ N, there is a domain Ω such that B(v, n) ⊂ Ω, ∂Ω ⊂ B(v, 6n) and |∂Ω|{succeeds above almost equal to}. © 2011 American Mathematical Society....
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2011
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