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- W2495288592 abstract "Abstract For any graph G embedded on the torus, the face-widthr(G) of G is the minimum number of intersections of G and C, where C ranges over all nonnullhomotopic closed curves on the torus. We call Gr-minimal if r(G) ≥ r and r(G′) R 2. Up to a certain natural equivalence, the number of r-minimal graphs on the torus is equal to 1 6 r3 + 5 6 r if r is odd and to 1 6 r3 + 4 3 r if r is even." @default.
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- W2495288592 date "1992-01-01" @default.
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- W2495288592 title "Classification of minimal graphs of given face-width on the torus" @default.
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