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Signed Graph Red Signature

  • signed graph: a graph together with an assignment of signs to the edges

  • signature: the set of negative edges.

  • usual notations:
    1. (G, 𝛴 ) where 𝛴 is the set of negative edges, similarly (H, Π ), etc.
      ( this is the preferred notation in this project)
    2. (G,𝜎) where 𝜎 is the function which assigns sign.
    3. In a work where one is mainly concerned by signed graphs and underlying graphs are not of so much use, one may alternatively use G to denote a signed graph rather than just a graph. The advantage then is that one may label the signature as 𝜎G. The disadvantage is that if resigned one must change the full label, e.g., G' is a resigning of G.

  • In colored drawing: normally positive edges are drawn in blue and negative edges are drawing in red.

  • In black/whit drawing: normally positive edges are drawn using solid lines and negative edges are drawn using dashed lines.