Open Accessn-ary transit functions in graphs
Author(s) -
Manoj Changat,
J. Howard Mathews,
Prasanth G. Narasimha-Shenoi,
Iztok Peterin
Publication year - 2010
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1522
Subject(s) - mathematics , combinatorics , discrete mathematics
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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