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.
@article{bwmeta1.element.doi-10_7151_dmgt_1990, author = {Manoj Changat and Ferdoos Hossein Nezhad and Henry Martyn Mulder and N. Narayanan}, title = {A Note on the Interval Function of a Disconnected Graph}, journal = {Discussiones Mathematicae Graph Theory}, volume = {38}, year = {2018}, pages = {39-48}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1990} }
Manoj Changat; Ferdoos Hossein Nezhad; Henry Martyn Mulder; N. Narayanan. A Note on the Interval Function of a Disconnected Graph. Discussiones Mathematicae Graph Theory, Tome 38 (2018) pp. 39-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1990/