Abstract
In this paper, we proved that ifG is a 3-connected graph of minimum valency ? = 6? + 5 with ? a non-negative integer and if there exists an embedding ? ofG on a surface Σ of characteristic ?(Σ) = -- ?|V(G)?+ β with the representativity of the embedding ? ? 3, where ? ? 0,1, thenG is edge reconstructible.
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