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I'm looking for a planar graph embedding algorithm description. Actually, it would be nice if I knew at least names of these algorithms. The only one I know is called γ(gamma)-algorithm, and it has an only description in only one book(in Russian, so I don't even know English name of this algorithm), but I guess it's not the only one. Googling haven't given me any sufficient results too.

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    Googling "planar embedding algorithm" yields many results, among them this paper by Boyer and Myrvold which presents a fairly simple algorithm. Are you looking for something else? http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.35.8496&rep=rep1&type=pdf2011-08-27
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    @alon-amit thx, looks completery different from the one I read, I'll read it.2011-08-27

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The book Planar Graphs: Theory and Applications by T. Nishizeki and N. Chiba (Dover Press) has a discussion both of planarity testing and embedding algorithms.