The Interval function, Ptolemaic, distance hereditary, bridged graphs and axiomatic characterizations

Manoj Changat, Lekshmi Kamal K. Sheela, Prasanth G. Narasimha-Shenoi

In this paper we consider certain types of betweenness axioms on the interval function $I_G$ of a connected graph $G$. We characterize the class of graphs for which $I_G$ satisfy t…