Geodesic
On the distance function of a connected graph
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1101-1106 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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An axiomatic characterization of the distance function of a connected graph is given in this note. The triangle inequality is not contained in this characterization.
An axiomatic characterization of the distance function of a connected graph is given in this note. The triangle inequality is not contained in this characterization.
Classification : 05C12, 05C40
Keywords: connected graph; distance function 
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     author = {Nebesk\'y, Ladislav},
     title = {On the distance function of a connected graph},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1101--1106},
     year = {2008},
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}
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Nebeský, Ladislav. On the distance function of a connected graph. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1101-1106. http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a16/