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n-ary transit functions in graphs

Manoj ChangatJoseph MathewsIztok PeterinPrasanth G. Narasimha-Shenoi — 2010

Discussiones Mathematicae Graph Theory

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.

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