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- W2041344105 abstract "Publisher Summary This chapter presents a graph-theoretical characterization of the order complexes on the 2-sphere. Recently, some remarkable connections between commutative algebra and combinatorics have been discovered. Among the main topics in this area are the concepts of Cohen-Macaulay and Gorenstein complexes. The geometric realization of the order complex A(P) is a triangulation of the 2-sphere. The graph G (P) is a 2-connected plane graph and is regarded as a complex, where vertices, edges and regions of G (P) are faces of the complex. The faces of G(P) ordered by inclusion, form a poset. This poset is called the face poset of G(P)." @default.
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- W2041344105 date "1988-12-01" @default.
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- W2041344105 title "A graph-theoretical characterization of the order complexes on the 2-sphere" @default.
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- W2041344105 doi "https://doi.org/10.1016/0012-365x(88)90206-3" @default.
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