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- W2139585347 abstract "Let T6 denote the class of all 6-connected (equivalently 6-regular) toroidal graphs and let G∈T6 which is not minor-minimal in T6. Let G′∈T6 be a proper minor of G with maximum number of vertices. We show that |V(G)|−|V(G′)|=fw(G), where fw(G) denotes the face-width of the toroidal embedding of G. Consequently, we show that the only minor-minimal graphs in T6 are K7, K8−4K2, K9−C9, and K9−3K3." @default.
- W2139585347 created "2016-06-24" @default.
- W2139585347 creator A5032173699 @default.
- W2139585347 date "2007-07-01" @default.
- W2139585347 modified "2023-09-27" @default.
- W2139585347 title "Contractions of 6-connected toroidal graphs" @default.
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- W2139585347 doi "https://doi.org/10.1016/j.jctb.2006.09.003" @default.
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