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- W2127996326 abstract "By a ternary structure we mean an ordered pair (U 0, T 0), where U 0is a finitenonempty set and T 0is a ternary relation on U 0. A ternary structure (U 0, T 0) is called here a directed geodetic structure if there exists a strong digraph Dwith the properties that V(D) = U 0and T 0 (u,v, w)if and only if d D (u,v)+ d D (v,w)= d D (u, w) for all u, v, w∈ U 0, where d Ddenotes the (directed) distance function in D. It is proved in this paper that there exists no sentence sof the language of the first-order logic such that a ternary structure is a directed geodetic structure if and only if it satisfies s." @default.
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- W2127996326 date "2004-03-01" @default.
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- W2127996326 title "The Directed Geodetic Structure of a Strong Digraph" @default.
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- W2127996326 doi "https://doi.org/10.1023/b:cmaj.0000027243.70276.51" @default.
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