ary TRANSIT FUNCTIONS IN GRAPHS

نویسندگان

  • Manoj Changat
  • Joseph Mathews
  • Iztok Peterin
  • Prasanth G. Narasimha-Shenoi
چکیده

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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تاریخ انتشار 2010