Induced Path Transit Function, Betweenness and Monotonicity☆
References (0)
Cited by (4)
Axiomatic characterization of the interval function of a block graph
2015, Discrete MathematicsCitation Excerpt :In this approach the axioms are necessarily of rather complex nature. In [16] and later work a different approach was taken: here the choice has been to find axioms that are as elementary as possible, and also such that they are applicable in the most general setting, not that of only very well-structured graphs or ordered sets (such as median graphs and median semilattices), see e.g. [22–24,6]. In [16] five simple and elementary properties of the interval function were given that are now known as the ‘five classical’ axioms for the interval function.
A Characterization of Uniquely Representable Graphs
2021, Discussiones Mathematicae - Graph TheoryA note on the interval function of a disconnected graph
2018, Discussiones Mathematicae - Graph Theoryn-ary transit functions in graphs
2010, Discussiones Mathematicae - Graph Theory
- ☆
Part of this work was done while the first author was visiting the Econometric Institute of Erasmus University, Rotterdam, as a BOYSCAST fellow of the Department of Science and Technology (DST) of the Ministry of Science and Technology of India, March - September 1998. The financial support of the DST (grant M-04/99), New Delhi, and the hospitality of the Econometric Institute, Rotterdam, are greatly acknowledged.