Abstract
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}.
Original language | English |
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Pages (from-to) | 4105-4111 |
Number of pages | 7 |
Journal | Proceedings of the American Mathematical Society |
Volume | 139 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2011 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- General Mathematics