Univerzita Karlova, Filozoficka fakulta, nam. J. Palacha 2, 116 38 Praha 1, Czech Republic, e-mail: ladislav.nebesky@ff.cuni.cz
Abstract: By the interval function of a finite connected graph we mean the interval function in the sense of H. M. Mulder. This function is very important for studying properties of a finite connected graph which depend on the distance between vertices. The interval function of a finite connected graph was characterized by the present author. The interval function of an infinite connected graph can be defined similarly to that of a finite one. In the present paper we give a characterization of the interval function of each connected graph.
Keywords: distance in a graph, interval function
Classification (MSC 2000): 05C12
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