Abstract
In this paper, we proved that ifG is a 3-connected graph of minimum valency δ = 6χ + 5 with α a non-negative integer and if there exists an embedding ψ ofG on a surface Σ of characteristic ϰ(Σ) = — α|V(G)∣+ β with the representativity of the embedding ψ ≥ 3, where ψ ε 0,1, thenG is edge reconstructible.
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Zhao, Y. On the edge reconstruction of graphs embedded on surfaces. Graphs and Combinatorics 9, 391–395 (1993). https://doi.org/10.1007/BF02988326
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DOI: https://doi.org/10.1007/BF02988326