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- W97071649 abstract "1935, D.König asked the question on page 199 in his famous book with the title “Theorie der endlichen und unendlichen Graphen” whether there exists a Kuratowski-type theorem for every closed orientable surface F p, p ∈ N0. The modern version of Kuratowski’s theorem is: The minimalbasis M1(F 0) consists of exactly two graphs, the so-called Kuratowski graphs K3,3 and K5 with M1 (F 0 ) = {K3,3,K5}, where the minimalbasis M1(F 0) is defined as the set of all >1-minimal graphs of the set Γ(F 0) ⊂ Γ of all nonplanar graphs. Γ stands for the set of all finite undirected graphs without loops and multiple edges and >1 is the well-known subdivision relation on Γ or Γ(F 0), respectively." @default.
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- W97071649 date "1990-01-01" @default.
- W97071649 modified "2023-09-25" @default.
- W97071649 title "On the Problem of Relative Components of Minimal Graphs" @default.
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- W97071649 doi "https://doi.org/10.1007/978-3-642-46908-4_1" @default.
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