n-ary transit functions in graphsChangat, Manoj (Avtor) Mathews, Joseph (Avtor) Peterin, Iztok (Avtor) Narasimha-Shenoi, Prasanth G. (Avtor) mathematicsgraph theoryn-aritytransit functionbetweennessSteiner convexity▫$n$▫-ary transit functions are introduced as a generalization of binary (2-ary) transit functions. We show that they can be associated with convexities in natural way and discuss the Steiner convexity as a natural ▫$n$▫-ary generalization of geodesicaly convexity. Furthermore, we generalize the betweenness axioms to ▫$n$▫-ary transit functions and discuss the connectivity conditions for underlying hypergraph. Also ▫$n$▫-ary all paths transit function is considered.20102017-03-31 13:59:44Neznano65347sl