The induced path convexity, betweenness, and svelte graphs
نویسندگان
چکیده
The induced path interval J (u; v) consists of the vertices on the induced paths between u and v in a connected graph G. Di-erences in properties with the geodesic interval are studied. Those graphs are characterized, in which the induced path intervals de/ne a proper betweenness. The intersection of the induced path intervals between the pairs of a triple, in general, consists of a big chunk of vertices. The graphs, in which this intersection consists of at most one vertex, for each triple of vertices, are characterized by forbidden subgraphs. c © 2002 Elsevier Science B.V. All rights reserved.
منابع مشابه
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Lovro Šubelj University of Ljubljana, Faculty of Computer and Information Science Ljubljana, Slovenia [email protected] Tilen Marc Institute of Mathematics, Physics and Mechanics Ljubljana, Slovenia [email protected] Metric graph theory is a study of geometric properties of graphs based on a notion of the shortest path between the nodes defined as the path through the smallest number ...
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 254 شماره
صفحات -
تاریخ انتشار 2002