Geodesic
A Note on the Interval Function of a Disconnected Graph
Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 1, pp. 39-48

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In this note we extend the Mulder-Nebeský characterization of the interval function of a connected graph to the disconnected case. One axiom needs to be adapted, but also a new axiom is needed in addition.
Keywords: interval function, transit function, axiomatic characterization, disconnected graph 
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Changat, Manoj; Hossein Nezhad, Ferdoos; Mulder, Henry Martyn; Narayanan, N. A Note on the Interval Function of a Disconnected Graph. Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 1, pp. 39-48. http://geodesic.mathdoc.fr/item/DMGT_2018_38_1_a2/