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Periodica Mathematica Hungarica
G. Chartrand
S. F. Kapoor
D. R. Lick
, and
S. Schuster

For a graphG, the switched graphS v (G) ofG at a vertexv is the graph obtained fromG by deleting the edges ofG incident withv and adding the edges of incident withv. Properties of graphs whereS v (G)G or are studied. This concept is extended to the partial complementS H (G) where H . The investigation here centers around the existence of setsH for whichS H (G) ≅ G. A parameter is introduced which measures how near a graph is to being self-complementary.

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