Graphs and Combinatorics

, Volume 9, Issue 2–4, pp 391–395 | Cite as

On the edge reconstruction of graphs embedded on surfaces

  • Yue Zhao
Graphs and Combinatoric


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.


Planar Graph Regular Graph Open Unit Disc Positive Genus Graph Reconstructor 
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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Yue Zhao
    • 1
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA

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