Geodesic
Toward a Theory of Planarity: Hanani-Tutte and Planarity Variants
Journal of Graph Algorithms and Applications, Special Issue on Selected Papers from the Twentieth International Symposium on Graph Drawing, GD 2012 , Tome 17 (2013) no. 4, pp. 367-440.

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We study Hanani-Tutte style theorems for various notions of planarity, including partially embedded planarity and simultaneous planarity. This approach brings together the combinatorial, computational and algebraic aspects of planarity notions and may serve as a uniform foundation for planarity, as suggested earlier in the writings of Tutte and Wu.
DOI : 10.7155/jgaa.00298
Keywords: graph drawing, planarity, simultaneous planarity, clustered planarity, Hanani-Tutte 
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Marcus Schaefer. Toward a Theory of Planarity: Hanani-Tutte and Planarity Variants. Journal of Graph Algorithms and Applications, 
							Special Issue on Selected Papers from the Twentieth International Symposium on Graph Drawing, GD 2012
					, Tome 17 (2013) no. 4, pp. 367-440. doi : 10.7155/jgaa.00298. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00298/

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