Geodesic
A Dual form of Kuratowski's Theorem
Canadian mathematical bulletin, Tome 8 (1965) no. 1, pp. 17-20

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DOI

The celebrated criterion of Kuratowski [2] for the planarity of a graph G involves the determination of whether G contains a subgraph homeomorphic to K5 or K3, 3 shown in Figure 1. 
Harary, Frank; Tutte, William T. A Dual form of Kuratowski's Theorem. Canadian mathematical bulletin, Tome 8 (1965) no. 1, pp. 17-20. doi: 10.4153/CMB-1965-003-3
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     title = {A {Dual} form of {Kuratowski's} {Theorem}},
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