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n-ary transit functions in graphs
Manoj Changat, Joseph Mathews, Iztok Peterin, Prasanth G. Narasimha-Shenoi, 2010, original scientific article

Abstract: ▫$n$▫-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.
Keywords: mathematics, graph theory, n-arity, transit function, betweenness, Steiner convexity
Published in DKUM: 31.03.2017; Views: 28605; Downloads: 327
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