Signed Graph Equation L K ( S ) ∼ S
نویسندگان
چکیده
A Smarandachely k-signed graph (Smarandachely k-marked graph) is an ordered pair S = (G,σ) (S = (G,μ)), where G = (V, E) is a graph called the underlying graph of S and σ : E → (e1, e2, · · · , ek) (μ : V → (e1, e2, · · · , ek)) is a function, where each ei ∈ {+,−}. Particularly, a Smarandachely 2-singed graph or 2-marked graph is called abbreviated to a singed graph or a marked graph. We characterize signed graphs S for which L(S) ∼ S, S ∼ CE(S) and L (S) ∼ S, where ∼ denotes switching equivalence and L(S), S and CE(S) are denotes line signed graph, complementary signed Graph and common-edge signed graph of S respectively.
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